Question

In figure given below, O is the centre of circle and $\angle AQR={35}^{\circ }$ and $\angle PAQ={120}^{\circ }$ then $\angle SPR$ is equal to :

• A. ${35}^{\circ }$
• B. ${20}^{\circ }$
• C. ${30}^{\circ }$
• D. ${25}^{\circ }$

Answer 1

The correct option is A ${35}^{\circ }$

Join SP to obtain the figure Here $\angle SPR$ and $\angle SQR$ are angles in the same segment under the same arc SR. Therefore these two are equal.

So, these two must be equal.