Question

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?

Answer 1

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

Answer 2

The measure of angle ACB is 25°. The correct option is a. 25 degrees

Circle Geometry

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

Learn more on Circle theorems here: https://brainly.com/question/16879446