Question

In the given figure, $\angle PQR={68}^{\circ }$ and QS is the bisector of $\angle PQR,$, If QM and QN bisect $\angle PQS$ and $\angle SQR$ respectively. Then $\angle MQN,$ will be

• A.
  ${34}^{\circ }$
• B.
  ${17}^{\circ }$
• C.
  ${28}^{\circ }$
• D.
  $34{\frac{1}{2}}^{\circ }$

Answer 1

The correct option is A

${34}^{\circ }$
$\angle MQN=\angle MQS+\angle SQN={17}^{\circ }+{17}^{\circ }={34}^{\circ }$
this implies Option (a)