Question

prove that angles in a semicircle is right angle​

Answer 1

Step-by-step explanation:

Given:

Prove that the angle in a semicircle is a right angle.

Solution:

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.

$i \: hope \: its \: help \: you.$