Question:
PQ is a chord of a circle with centre O and PT is tangent if angle QPT is equals to 60 degree,find angle PRQ
Answer:
Given, PQ is a chord of a circle with center O.
Also, ∠QPT = 60°.
Now, from the figure,
∠QPT + ∠QPX = 180° {Linear pair}
=> ∠QPX = 180° - ∠QPT = 180° - 60° = 120°
Since, ∠QPX = ∠PRQ {Alternate segment theorem}
So, ∠PRQ = 120
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