Question

please answer my question

Answer 1

Here is your solution

Given:-

PQ is a chord of a circle with center O.
∠QPT = 60°

Let x be the point on the tangent PT.


Now

∠QPT + ∠QPX = 180°  [Linear pair]

=>∠QPX= 180° - ∠QPT
=>∠QPX= 180° - 60° = 120°
=>∠QPX=120°

∠QPX = ∠PRQ  [Alternate segment theorem]

Hence

∠PRQ = 120°

hope it helps you