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in Circles by (36.7k points)
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In the given figure, ‘O’ is the centre of the circle. If ∠ACB = 35°, then ∠AOB =

A) 1/2∠ACB 

B) 3 ∠ACB 

C) 55° 

D) 2 ∠ACB

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (D) 2 ∠ACB

Angle subtended by an arc at the centre of the circle is double than the angle subtended by that arc at any point on the circumference.

\(\because\) \(\angle AOB\) = Angle subtended by arc AB at centre O

\(\angle ACB\) = Angle subtended by arc AB at point C of circumference

\(\therefore\) \(\angle AOB\) = \(2\,\angle ACB\)

+1 vote
by (38.9k points)

Correct option is  D) 2 ∠ACB

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