9th Class Mathematics Lines and Angles Question Bank

done Lines and Angles Total Questions - 54

• question_answer1)
  The measure of an angle is four times the measure of its supplement. Identify the angles.
  A)
  \[{{36}^{o}},\,\,{{144}^{o}}\]                       done clear
  B)
  \[{{40}^{o}},\,\,{{160}^{o}}\]           done clear
  C)
         \[{{18}^{o}},\,\,{{72}^{o}}\] done clear
  D)
         \[{{50}^{o}},\,\,{{200}^{o}}\] done clear
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• question_answer2)
  If two supplementary angles are in the ratio\[4:5\], find the angles.
  A)
  \[{{80}^{o}},\,\,{{100}^{o}}\]                       done clear
  B)
         \[{{85}^{o}},\,\,{{95}^{o}}\]             done clear
  C)
         \[{{40}^{o}},\,\,{{50}^{o}}\]             done clear
  D)
         \[{{60}^{o}},\,\,{{120}^{o}}\] done clear
  View Solution play_arrow

• question_answer3)
  From the given figure, find the value of \[{{y}^{o}}\] when\[{{x}^{o}}={{30}^{o}}\].
  A)
  \[{{25}^{o}}\]                         done clear
  B)
         \[{{24}^{o}}\]             done clear
  C)
         \[{{36}^{o}}\]                         done clear
  D)
         \[{{45}^{o}}\] done clear
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• question_answer4)
  From the figure given, if\[\angle POR\]and\[\angle QOR\]from a linear pair and\[a-b={{40}^{o}}\], what are the respective values of\[a\]and\[b\]?
  A)
  \[{{110}^{o}},\,\,{{70}^{o}}\]                       done clear
  B)
         \[{{70}^{o}},\,\,{{100}^{o}}\]           done clear
  C)
         \[{{80}^{o}},\,\,{{120}^{o}}\]                       done clear
  D)
         \[{{120}^{o}},\,\,{{80}^{o}}\] done clear
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• question_answer5)
  From the figure given, find the value of\[x\], if\[BC||ED\]
  A)
  \[{{85}^{o}}\]                         done clear
  B)
         \[{{90}^{o}}\]             done clear
  C)
         \[{{95}^{o}}\]                         done clear
  D)
         \[{{80}^{o}}\] done clear
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• question_answer6)
  In\[\Delta ABC\]\[,\]\[\angle A=\frac{\angle B}{2}=\frac{\angle C}{6}\]. Find the measure of measure of\[\angle A\].
  A)
  \[{{60}^{o}}\]                         done clear
  B)
         \[{{30}^{o}}\]             done clear
  C)
         \[{{40}^{o}}\]                         done clear
  D)
         \[{{20}^{o}}\] done clear
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• question_answer7)
  The sides \[BC,\,\,CA\] and \[AB\] of \[\Delta ABC\] are produced in order to form exterior angles\[\angle ACD,\,\,\angle BAE\]and\[\angle CBF\]. Find\[\angle ACD+\angle BAE+\angle CBF\].
  A)
  \[{{180}^{o}}\]                                   done clear
  B)
         \[{{270}^{o}}\]                       done clear
  C)
         \[{{360}^{o}}\]                                   done clear
  D)
         \[{{540}^{o}}\] done clear
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• question_answer8)
  In the given figure, \[BO\] and \[CO\] are angle bisectors of external angles of\[\Delta ABC\]. Find\[\angle BOC\].
  A)
  \[{{90}^{o}}-\frac{1}{2}\angle A\]                    done clear
  B)
  \[{{90}^{o}}+\frac{1}{2}\angle A\] done clear
  C)
  \[{{180}^{o}}-\frac{1}{2}\angle A\]      done clear
  D)
         \[{{180}^{o}}+\frac{1}{2}\angle A\]    done clear
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• question_answer9)
  In the figure, the bisectors of \[B\] and \[C\] meet at\[O\]. Find the measure of\[\angle BOC\].
  A)
  \[{{90}^{o}}+\frac{1}{2}\angle A\]                  done clear
  B)
  \[{{90}^{o}}+\frac{1}{2}\angle B\]      done clear
  C)
  \[{{90}^{o}}+\frac{1}{2}\angle C\]      done clear
  D)
         \[{{90}^{o}}+\angle A\] done clear
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• question_answer10)
  From the given figure, find the value of\[x\].
  A)
  \[{{60}^{o}}\]                         done clear
  B)
  \[{{75}^{o}}\]             done clear
  C)
  \[{{90}^{o}}\]             done clear
  D)
         \[{{120}^{o}}\]                       done clear
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• question_answer11)
  From the figure, find\[x\]if\[AB||CD\].
  A)
  \[{{45}^{o}}\]                         done clear
  B)
  \[{{55}^{o}}\]             done clear
  C)
  \[{{60}^{o}}\]             done clear
  D)
         \[{{70}^{o}}\] done clear
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• question_answer12)
  In the given figure, what is the value of\[\angle A+\angle B+\angle C+\angle D+\angle E+\angle F\]?
  A)
  \[{{360}^{o}}\]                                   done clear
  B)
  \[{{270}^{o}}\]           done clear
  C)
         \[{{540}^{o}}\]                       done clear
  D)
         \[{{180}^{o}}\]                       done clear
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• question_answer13)
  In\[\Delta PQR\], the angle bisectors of \[\angle PQR\] and \[\angle PRQ\] meet at\[O\]. Ifs\[\angle QPR={{80}^{o}}\], find the measure of\[\angle QOR\].
  A)
  \[{{80}^{o}}\] done clear
  B)
                     \[{{130}^{o}}\]                       done clear
  C)
  \[{{100}^{o}}\]                                   done clear
  D)
  \[{{90}^{o}}\] done clear
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• question_answer14)
  If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio\[2:3\], what is the smaller of the two angles?
  A)
  \[{{72}^{o}}\]                         done clear
  B)
  \[{{108}^{o}}\]                       done clear
  C)
  \[{{54}^{o}}\]             done clear
  D)
         \[{{36}^{o}}\] done clear
  View Solution play_arrow

• question_answer15)
  In the given figure\[PQ||SR,\,\,\angle SQR={{25}^{o}}\],\[\angle QRT={{65}^{o}}\]find\[y\].
  A)
  \[{{40}^{o}}\]                         done clear
  B)
  \[{{150}^{o}}\]           done clear
  C)
  \[{{50}^{o}}\]             done clear
  D)
         \[{{80}^{o}}\] done clear
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• question_answer16)
  In the figure, \[AB=AC,\,\,CH=CB\] and\[HK||BC\]. If the exterior angle \[CAX\] is\[{{140}^{o}}\], find the measure of the angle\[HCK\].
  A)
  \[{{45}^{o}}\]             done clear
  B)
  \[{{55}^{o}}\]             done clear
  C)
  \[{{50}^{o}}\]             done clear
  D)
         done clear
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• question_answer17)
  In the adjoining figure, \[AM\bot BC\] and\[AN\] is the bisector of\[\angle BAC\]. If \[\angle B={{70}^{o}}\] and\[\angle C={{35}^{o}}\], find\[\angle MAN\].
  A)
  \[{{17.5}^{o}}\]                      done clear
  B)
  \[{{27.5}^{o}}\]          done clear
  C)
         \[{{37.5}^{o}}\]          done clear
  D)
         \[{{47.5}^{o}}\]                      done clear
  View Solution play_arrow

• question_answer18)
  In the figure given, what is the value of \[x\] if\[AB||CD\]?
  A)
  \[{{80}^{o}}\]                         done clear
  B)
  \[{{88}^{o}}\]             done clear
  C)
  \[{{90}^{o}}\]             done clear
  D)
         \[{{98}^{o}}\] done clear
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• question_answer19)
  From the given figure, if\[AB||DE\], what is the value of\[{{x}^{o}}\]?
  A)
  \[{{25}^{o}}\]                         done clear
  B)
  \[{{35}^{o}}\] done clear
  C)
  \[{{45}^{o}}\]             done clear
  D)
         \[{{55}^{o}}\] done clear
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• question_answer20)
  \[\angle ABC\]and\[\angle BDC\] are right angles. If\[AD=9\,\,cm\], \[DC=16\,\,cm\] and\[AB=15\,\,cm\], find length of\[BD\].
  A)
  \[12\,\,cm\]                    done clear
  B)
  \[16\,\,cm\]       done clear
  C)
         \[15\,\,cm\]        done clear
  D)
         \[25\,\,cm\] done clear
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• question_answer21)
  In the given figure, if\[PQ||RS,\,\,\angle PAB={{70}^{o}}\]and\[\angle ACS={{110}^{o}}\], find the measure of\[\angle BAC\].
  A)
  \[{{40}^{o}}\]                         done clear
  B)
  \[{{70}^{o}}\]             done clear
  C)
  \[{{110}^{o}}\]                       done clear
  D)
         \[{{30}^{o}}\] done clear
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• question_answer22)
  In a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. Which of the following is one of the acute angles of the triangle?
  A)
  \[{{60}^{o}}\]                         done clear
  B)
  \[{{45}^{o}}\]             done clear
  C)
  \[{{30}^{o}}\]             done clear
  D)
         \[{{75}^{o}}\] done clear
  View Solution play_arrow

• question_answer23)
  In the given figure, \[AB||CD\]and\[\angle 1:\angle 2=3:2\]. Find\[\angle 6\].
  A)
  \[{{72}^{o}}\]                         done clear
  B)
  \[{{36}^{o}}\]             done clear
  C)
  \[{{108}^{o}}\]                       done clear
  D)
         \[{{144}^{o}}\] done clear
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• question_answer24)
  If \[D\]is the midpoint of the hypotenuse \[AC\] of a right triangle\[ABC\], find the length of\[BD\].
  A)
  \[\frac{1}{2}AC\]                       done clear
  B)
  \[AC\]                done clear
  C)
  \[\frac{3}{2}AC\]           done clear
  D)
         \[2AC\] done clear
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• question_answer25)
  In the given figure, \[AB||CD\] and\[CD||EF\]. Also\[EA\bot AB\]. If\[\angle BEF={{55}^{o}}\], find the value of\[x-z\]
  A)
  \[{{0}^{o}}\]               done clear
  B)
         \[{{50}^{o}}\] done clear
  C)
  \[{{80}^{o}}\]             done clear
  D)
         \[{{90}^{o}}\] done clear
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• question_answer26)
  In\[\Delta ABC\], if \[\angle A={{45}^{o}}\] and\[\angle B={{70}^{o}}\], find the shortest and the largest sides of the triangle respectively.
  A)
  \[AB,\,\,BC\]                              done clear
  B)
  \[BC,\,\,AC\]      done clear
  C)
         \[AB,\,\,AC\]                  done clear
  D)
          Either (a) or (c) done clear
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• question_answer27)
  In the given figure which of the following statements must be true?
  A)
   (i) only                         done clear
  B)
   (ii) only done clear
  C)
          (iii) only         done clear
  D)
          (ii) and (iii) only done clear
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• question_answer28)
  In a\[\Delta ABC\], if \[2\angle A=3\angle B=6\angle C\]\[,\] find the measures of\[\angle A,\,\,\angle B\]and\[\angle C\].
  A)
  \[{{30}^{o}},\,\,{{60}^{o}},\,\,{{90}^{o}}\]             done clear
  B)
  \[{{90}^{o}},\,\,{{60}^{o}},\,\,{{30}^{o}}\] done clear
  C)
         \[{{30}^{o}},\,\,{{90}^{o}},\,\,{{60}^{o}}\] done clear
  D)
         \[{{45}^{o}},\,\,{{90}^{o}},\,\,{{45}^{o}}\] done clear
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• question_answer29)
  \[A,\,\,B\] and \[C\] are the three angles of a triangle. If \[A-B={{15}^{o}}\] and\[B-C={{30}^{o}}\], find \[\angle A,\,\,\angle B\] and\[\angle C\].
  A)
  \[{{80}^{o}},\,\,{{65}^{o}},\,\,{{35}^{o}}\]             done clear
  B)
  \[{{65}^{o}},\,\,{{80}^{o}},\,\,{{35}^{o}}\] done clear
  C)
         \[{{35}^{o}},\,\,{{80}^{o}},\,\,{{65}^{o}}\] done clear
  D)
         \[{{80}^{o}},\,\,{{35}^{o}},\,\,{{65}^{o}}\] done clear
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• question_answer30)
  Consider the following statements. Which of the given statements is correct?
  A)
   (i) and (iii) only done clear
  B)
          (ii) and (iii) only done clear
  C)
   (i) and (iv) only done clear
  D)
          (ii) and (iv) only done clear
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• question_answer31)
  Two straight lines \[AB\] and \[CD\] intersect one another at point\[O\]. If\[\angle AOC+\] \[\angle COB+\]\[\angle BOD={{274}^{o}}\], find\[\angle AOD\].
  A)
  \[{{86}^{o}}\]                         done clear
  B)
  \[{{90}^{o}}\]             done clear
  C)
  \[{{94}^{o}}\]             done clear
  D)
         \[{{137}^{o}}\] done clear
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• question_answer32)
  In the given figure, identify the pair of parallel lines.
  A)
  \[AB||EF\]                    done clear
  B)
  \[BC||CF\]        done clear
  C)
  \[EF||BC\]        done clear
  D)
         \[EF||CE\]         done clear
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• question_answer33)
  In the given figure, \[AB||CD||EF\] and\[GH||KL\]. Find the measure of\[\angle HKL\].
  A)
  \[{{85}^{o}}\]                         done clear
  B)
  \[{{135}^{o}}\]           done clear
  C)
  \[{{145}^{o}}\]                       done clear
  D)
         \[{{215}^{o}}\]                       done clear
  View Solution play_arrow

• question_answer34)
  In the given figure, find the value of\[x\].
  A)
  \[{{12}^{o}}\]                         done clear
  B)
  \[{{15}^{o}}\]             done clear
  C)
  \[{{20}^{o}}\]             done clear
  D)
         \[{{30}^{o}}\] done clear
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• question_answer35)
  In the given figure, if\[{{l}_{1}}||{{l}_{2}}\], what is the value of\[x\]?
  A)
  \[{{37}^{o}}\]                         done clear
  B)
  \[{{57}^{o}}\] done clear
  C)
  \[{{95}^{o}}\]             done clear
  D)
         \[{{85}^{o}}\]             done clear
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• question_answer36)
  In the given figure, if\[AB||PQ,\,\,PR||BC\], and\[\angle QPR={{102}^{o}}\], determine\[\angle ABC\].
  A)
  \[{{102}^{o}}\]                                   done clear
  B)
  \[{{180}^{o}}\]           done clear
  C)
  \[{{78}^{o}}\]             done clear
  D)
         \[{{120}^{o}}\]                       done clear
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• question_answer37)
  In the given figure\[PQ||RS,\,\,\angle AEF={{95}^{o}}\],\[\angle BHS={{110}^{o}}\] and\[\angle ABC={{x}^{o}}\]. Find the value of\[x\].
  A)
  \[{{15}^{o}}\]                         done clear
  B)
  \[{{25}^{o}}\] done clear
  C)
  \[{{70}^{o}}\]             done clear
  D)
         \[{{35}^{o}}\]             done clear
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• question_answer38)
  In the given figure, which two lines are parallel?
  A)
  \[l,\,\,m\]                                    done clear
  B)
  \[l,\,\,n\] done clear
  C)
  \[m,\,\,n\]                       done clear
  D)
         \[n,\,\,p\]                        done clear
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• question_answer39)
  In the given figure,\[AB||CD\]and\[EF||DQ\]. Determine\[\angle PQR\].
  A)
  \[{{78}^{o}}\]                         done clear
  B)
  \[{{68}^{o}}\] done clear
  C)
  \[{{34}^{o}}\]             done clear
  D)
         \[{{54}^{o}}\]             done clear
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• question_answer40)
  In the given figure if \[{{l}_{1}}||{{l}_{2}}\] what is \[x+y\] in terms of \[{{w}^{o}}\] and\[{{z}^{o}}\]?
  A)
  \[{{180}^{o}}-{{w}^{o}}+{{z}^{o}}\]         done clear
  B)
  \[{{180}^{o}}+{{w}^{o}}-{{z}^{o}}\] done clear
  C)
                     \[{{180}^{o}}-{{w}^{o}}-{{z}^{o}}\] done clear
  D)
         \[{{180}^{o}}+{{w}^{o}}+{{z}^{o}}\] done clear
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• question_answer41)
  In the given figure\[,\]\[OP||RS\]. Determine\[\angle PQR\]
  A)
  \[{{75}^{o}}\]                         done clear
  B)
  \[{{50}^{o}}\]             done clear
  C)
  \[{{40}^{o}}\]             done clear
  D)
         \[{{60}^{o}}\] done clear
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• question_answer42)
  In the given figure, if \[{{l}_{1}}||{{l}_{2}}\] and\[{{l}_{3}}||{{l}_{4}}\], what is \[y\] in terms of\[x\]?
  A)
  \[{{90}^{o}}+x\]                     done clear
  B)
  \[{{90}^{o}}+2x\]       done clear
  C)
  \[{{90}^{o}}-\frac{x}{2}\]       done clear
  D)
         \[{{90}^{o}}-2x\] done clear
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• question_answer43)
  In the given figure,\[PQ||RS\]\[,\]\[\angle QPR={{70}^{o}}\]\[\angle ROT={{20}^{o}}\], find the value of\[x\]
  A)
  \[{{20}^{o}}\]                         done clear
  B)
  \[{{70}^{o}}\] done clear
  C)
  \[{{110}^{o}}\]                       done clear
  D)
         \[{{50}^{o}}\] done clear
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• question_answer44)
  In the given figure, if \[AB||CD\] is parallel to the line segment\[CD\], what is the value of\[y\]?
  A)
  \[12\]                             done clear
  B)
  \[15\]     done clear
  C)
  \[18\]                 done clear
  D)
         \[20\] done clear
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• question_answer45)
  In the given figure,\[AB||CD\]and\[\angle F={{30}^{o}}\]. Find\[\angle ECD\]
  A)
  \[{{55}^{o}}\]                         done clear
  B)
  \[{{70}^{o}}\] done clear
  C)
  \[{{45}^{o}}\]             done clear
  D)
         \[{{60}^{o}}\] done clear
  View Solution play_arrow

• question_answer46)
  In the given figure, if\[AC||ED\], find the degree measure of\[x\].
  A)
  \[{{55}^{o}}\]                         done clear
  B)
  \[{{70}^{o}}\]             done clear
  C)
  \[{{45}^{o}}\]             done clear
  D)
         \[{{60}^{o}}\]             done clear
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• question_answer47)
  An exterior angle of a triangle is\[{{115}^{o}}\]. If one of the interior opposite angles is\[{{35}^{o}}\], what are the other two angles?
  A)
  \[{{80}^{o}},\,\,{{65}^{o}}\] done clear
  B)
  \[{{75}^{o}},\,\,{{65}^{o}}\] done clear
  C)
         \[{{90}^{o}},\,\,{{55}^{o}}\] done clear
  D)
         \[{{45}^{o}},\,\,{{100}^{o}}\] done clear
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• question_answer48)
  In the given figure, if\[PQ||RS\], find the measure of\[m\].
  A)
  \[{{110}^{o}}\]                                   done clear
  B)
  \[{{100}^{o}}\]                       done clear
  C)
  \[{{90}^{o}}\]             done clear
  D)
         \[{{137}^{o}}\] done clear
  View Solution play_arrow

• question_answer49)
  If\[OP\]is a ray standing on a line\[QR\]such that\[\angle POQ=\angle POR\], what is the measure of\[\angle POQ\]
  A)
  \[{{45}^{o}}\]                         done clear
  B)
  \[{{60}^{o}}\]             done clear
  C)
  \[{{75}^{o}}\]             done clear
  D)
         \[{{90}^{o}}\] done clear
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• question_answer50)
  In the figure given, what is the value of\[\angle p\]?
  A)
  \[{{30}^{o}}\]                                                 done clear
  B)
  \[{{40}^{o}}\]             done clear
  C)
  \[{{50}^{o}}\]             done clear
  D)
         \[{{60}^{o}}\]             done clear
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• question_answer51)
  In the given figure, \[PQ||RS\] and\[EF||QS\]. If\[\angle Q={{60}^{o}}\], find the measure of\[\angle REF\].
  A)
  \[{{115}^{o}}\]                                   done clear
  B)
  \[{{120}^{o}}\]                       done clear
  C)
  \[{{60}^{o}}\]             done clear
  D)
         \[{{180}^{o}}\] done clear
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• question_answer52)
  In the given figure\[,\]\[AB||CD\] . What is the value of\['q'\]?
  A)
  \[{{120}^{o}}\]                                   done clear
  B)
  \[{{65}^{o}}\]             done clear
  C)
  \[{{90}^{o}}\]             done clear
  D)
         \[{{110}^{o}}\] done clear
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• question_answer53)
  The angles of a triangle are\[(x+{{10}^{o}}),\,\,(x+{{40}^{o}})\]and\[(2x-{{30}^{o}})\]. What is the value of\[x\]?
  A)
  \[{{30}^{o}}\]                         done clear
  B)
  \[{{40}^{o}}\]             done clear
  C)
  \[{{20}^{o}}\]             done clear
  D)
         \[{{10}^{o}}\]             done clear
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• question_answer54)
  In the figure given, what are the values of \[\angle b,\,\,\angle c\] and\[\angle a\]respectively?
  A)
  \[{{18}^{o}},\,\,{{70}^{o}}\]and\[{{92}^{o}}\]         done clear
  B)
  \[{{92}^{o}},\,\,{{70}^{o}}\]and\[{{18}^{o}}\] done clear
  C)
         \[{{70}^{o}},\,\,{{92}^{o}}\]and\[{{18}^{o}}\] done clear
  D)
         \[{{70}^{o}},\,\,{{18}^{o}}\]and\[{{92}^{o}}\] done clear
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