Mathematics
In the given figure, O is the center of the circle, AB is side of a regular pentagon, then angle ACB is equal to :
36°
72°
50°
40°
Circles
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Answer
Join OA and OB.
Given,
AB is side of a regular pentagon.
∴ ∠AOB = = 72°.
We know that,
The angle which an arc of a circle subtends at the center is double that which it subtends at any point on the remaining part of the circumference.
∴ ∠AOB = 2∠ACB
∠ACB = = 36°.
Hence, Option 1 is the correct option.
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