Question

prove this question based on the knowledge of angle in a Circle.

Answer 1

Explanation

For alternate angles between parallel lines:

$\angle SOP=\angle RQP=x$

Let's name this measure x

The measure of the arc SP is x and the measure of the arc PR is twice x, we have:

Then the measure of the arc RS is also x. We have:

$arc(SP)=arc(SR)=x$

Since the arcs have the same measure, we can state that:

$\bar{SP}=\bar{SR}$