hi shivusuja

That's what I thought the question meant. Problem is: those angles are not equal.

I use geometry software called Sketchpad. It's a vector geometry program and can give measurements of lengths and angles, accurate to many decimal places. I've got it set to 2dp. When I select points to make measurements, the software automatically assigns letters in order (A, B C ...) so the point P has label E, the centre of the circle has label F, and the point Q has label G.

So the angles you want are shown as BCG, GCD, BAE and EAD. The screenshot below shows the Sketchpad values.

I don't know what to suggest next.

Where did the question come from? Have you worded it exactly as set?

Bob