Question

The image shows a circle centered at point O angle AOB Measures at 42 degrees.

What is the Measure of the angle acb explain your reasoning

Answer 1

∠ ACB = 21°

Explanation:

the inscribed angle ACB is half the central angle AOB , subtended by the same arc AB , then

∠ ACB =
`(1)/(2)` ∠ AOB =
`(1)/(2)` × 42° = 21°