| Statement 1: \[\angle e\] and \[\angle h\] are supplementary angles. |
| Statement 2: \[\angle c+\angle d+\angle h+\angle b={{360}^{o}}\] |
A) Both Statement-1 and Statement-2 are true.
B) Statement-1 is true but Statement-2 is false.
C) Statement-1 is false but Statement-2 is true.
D) Both Statement-1 and Statement-2 are false.
Correct Answer: C
Solution :
Statement-1: Since, \[\angle e=\angle f\] ...(i) (Vertically opposite angles) and \[\angle f=\angle h\]...(ii) (Corresponding angles) From (i) and (ii), \[\angle e=\angle h\] So, \[\angle e\] and \[\angle h\] are not supplementary angles. Statement - 2: \[\angle c=\angle d\] (Vertically opposite angles) \[\angle h=\angle b\] (Vertically opposite angles) and \[\angle d=\angle b={{180}^{o}}\](Co-interior angles) Now, \[\angle c+\angle d+\angle h+\angle b\] \[=2\angle d+2\angle b=2(\angle d+\angle b)=2\times {{180}^{o}}={{360}^{o}}\]
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