prove that angle inscribed in semicircle is right angle
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Answer:
Now POQ is a straight line passing through center O.
∴ Angle subtended by arc PQ at O is
∠POQ=180°
The angle subtended by an arc at the center is double the angle subtended by it any point on the remaining part of the circle.
∴∠POQ=2∠PAQ
2
∠POQ
=∠PAQ
2
180
=∠PAQ
∠PAQ=90
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