Question

In Fig. 16.204, if ∠ABC= 45°, then ∠AOC=
A. 45°
B. 60°
C. 75°
D. 90°

Answer 1

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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Answer 2

Answer:

Step-by-step explanation:

∠AOC = 2 ∠ABC

∠AOC = 2 ×  45°

∠AOC = 90