Question

In the above figure ∠ AOB =80°. What dose

∠ ACB equal?
A. 40
B. 80
C. 10
D. 160

Answer 1

Find out the what does ∠ ACB equal .

To prove

As given

∠ AOB =80°

By using the relationship between the inscribed angle and central angle.

`Inscribed\ angle = (1* central\ angle)/(2)`

Here

Inscribed angle = ∠ACB

Central angle = ∠AOB = 80°

`\angle ACB = (80)/(2)`

∠ACB = 40°

Option (A) is correct .