Question

Angles in the same segment of a circle are

• A.
  Complementary
• B.
  Supplementary
• C.
  Equal
• D.
  Vertically opposite angles

Answer 1

The correct option is C

Equal
Angles in the same segment of a circle are equal.




We know that the angle subtended by an arc of a circle at the centre is double of the angle subtended by it at any point on the remaining part of the circle.

$\therefore \angle PAQ=\frac{1}{2}\angle POQAlso,\angle PBQ=\frac{1}{2}\angle POQ\Rightarrow \angle PAQ=\angle PBQ$


Hence, the correct answer is option (c).