2. Questions Bank
  3. 9th Class
  4. Mathematics
  5. Lines and Angles

9th Class Mathematics Lines and Angles Question Bank Lines and angles

  • question_answer
    Two parallel lines AB and CD are intersected by a transversal line EF at M and N respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then \[\angle \,\mathbf{MPN}\] is equal to:

    A)  \[{{90}^{{}^\circ }}\]

    B)  \[{{45}^{{}^\circ }}\]

    C)  \[{{135}^{{}^\circ }}\]                          

    D)  \[{{60}^{{}^\circ }}\]

    Correct Answer: A

    Solution :

    (a): As \[\angle BMN+\angle DNM={{180}^{{}^\circ }}\] \[\angle PMN+\angle PNM={{90}^{{}^\circ }}\] \[\angle MPN={{180}^{{}^\circ }}-(\angle PMN+\angle PNM)\] \[={{180}^{{}^\circ }}-\left( {{90}^{{}^\circ }} \right)\] \[\Rightarrow \]\[\angle MPN={{90}^{{}^\circ }}\]                          


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