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  • In Fig.10.4, if \angle ABC = 20^{\circ}, then \angle AOC is equal to: (A) 20^{\circ} (B) 40^{\circ} (C) 60^{\circ} (D) 10^{\circ}

In Fig.10.4, if \angle ABC = 20^{\circ}, then \angle AOC is equal to:


\\(A) 20^{\circ}\\ (B) 40^{\circ}\\ (C) 60^{\circ}\\ (D) 10^{\circ}\\

Answers (1)

Answer:

(B)

Solution:

Given,\angle ABC = 20^{\circ}

We know that,

Angle subtended at the center by an arc is twice the angle subtended by it at any part of the circle.

Hence,

\angle AOC = 2\angle ABC = 2 \times 20^{\circ} = 40^{\circ}

Therefore option (B) is correct.

 

Posted by

infoexpert24

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