Question

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

Answer 1

Step-by-step 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}`