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
    In the given figure, \[\mathbf{PQ}\parallel \mathbf{LM}\parallel \mathbf{RS}\]. What is the value of \[\angle \mathbf{RLM}\]?

    A)  \[{{20}^{{}^\circ }}\]                      

    B)  \[{{155}^{{}^\circ }}\]

    C)  \[{{30}^{{}^\circ }}\]                                   

    D)  \[{{45}^{{}^\circ }}\]

    Correct Answer: B

    Solution :

    (b): \[\angle PQR=\angle QRS\] \[{{65}^{{}^\circ }}=\angle QRS\] \[{{65}^{{}^\circ }}=\angle QRL+\angle LRS\] Given \[{{65}^{{}^\circ }}={{40}^{{}^\circ }}+\angle LRS\] \[\Rightarrow \] \[\angle LRS={{25}^{{}^\circ }}\] \[\angle LRS+\angle RLM={{180}^{{}^\circ }}\] \[{{25}^{{}^\circ }}+\angle RLM={{180}^{{}^\circ }}\] \[\therefore \]\[RLM={{155}^{{}^\circ }}\]


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