Question

Prove that the angle in a semi circle is a right angle.
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Answer 1

Answer:

HENCE PROVED!

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Answer 2

For diagram refer to the attachment !

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

Hence proved.

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