Question

In figure if angle abc =20 then find angle aoc

Answer 1

Given, ∠ABC = 20°

We know that, angle subtended at the centre by an arc is twice the angle subtended by it at the remaining part of circle.

∠AOC = 2∠ABC = 2 x 20° = 40°

Answer 2

Answer:

<AOC = 40°

Explanation:

$\angle AOC = 2\times \angle ABC$

________________________

/* By the theorem */

The angle subtended by an arc at the centre is twice the angle subtended it at any point on the remaining part of the centre.

_________________________

$\angle AOC = 2\times 20$

/* $Given \angle ABC = 20$*/

= $40$

Therefore,

<AOC = 40°

•••••