2. Questions Bank
  3. 7th Class
  4. Mathematics
  5. Lines and Angles

7th Class Mathematics Lines and Angles Question Bank Lines And Angles

  • question_answer
    In the figure (not drawn to scale), EEC and DFB are straight lines. Find \[\angle x\] and \[\angle y\]respectively.                            

    A)  \[{{40}^{o}},{{62}^{o}}\]         

    B)  \[{{45}^{o}},{{61}^{o}}\]         

    C)  \[{{47}^{o}},{{54}^{o}}\]     

    D)  \[{{30}^{o}},{{60}^{o}}\]         

    Correct Answer: B

    Solution :

    [a] As. \[\angle DFC+\angle x={{180}^{o}}\](Linear pair) \[\therefore \] \[{{135}^{o}}+\angle x={{180}^{o}}\] \[\Rightarrow \]   \[\angle x={{180}^{o}}-{{135}^{o}}={{45}^{o}}\] [b] As, \[\angle y+\angle AFB+\angle x={{180}^{o}}\] (Angles on a straight line)             \[\therefore \] \[\angle y+{{74}^{o}}+{{45}^{o}}={{180}^{o}}\]             \[\Rightarrow \] \[\angle y={{180}^{o}}-({{74}^{o}}+{{45}^{o}})\] \[\Rightarrow \] \[\angle y={{180}^{o}}-{{119}^{o}}={{61}^{o}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner