Question

1. The measure of angle AOB is 56 degrees. What is the measure of angle ACB?

Answer 1

m ∠ACB = 28

Step-by-step explanation:

In any circle, an inscribed angle measure is exactly the half of the central angle measure with the same arc that is intercepted.

Here the angle AOB is the central angle measure then the measure of the angle ACB is half of the angle AOB.

m<ACB = $\frac{1}{2}$ × m<AOB

            = $\frac{1}{2} \times 56$

           = 28

So the measure of angle ACB is 28 degrees.