In Fig. 16.204, if ∠ABC= 45°, then ∠AOC=
A. 45°
B. 60°
C. 75°
D. 90°
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5
Given: In Fig. ∠ABC = 45°.
To find : ∠AOC
Solution :
Since, the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
∠AOC = 2 ∠ABC
∠AOC = 2 × 45°
∠AOC = 90°
Hence, the measure of ∠AOC is 90°.
Among the given options option (D) 90° is correct.
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Answered by
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Answer:
Step-by-step explanation:
∠AOC = 2 ∠ABC
∠AOC = 2 × 45°
∠AOC = 90
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