Question

What is the measure of AC?

Enter your answer in the box.

______°

Answer 1

The answer is 150 degrees.

Answer 2

Measure of AC is 150°

Explanation:

Given : ∠ABC = 75°

To Find : Arc AC

Solution :

Inscribed Angle Theorem: The measure of an inscribed angle is half the measure of the intercepted arc.

So, using this theorem

`\angle{ABC} = (1)/(2) \text{arc (AC)}`

⇒
`75^(\circ) = (1)/(2) \text{arc (AC)}`

⇒
`75^(\circ)*2 =  \text{arc (AC)}`

⇒
`150^(\circ) =  \text{arc (AC)}`

Arc AC = 150°

Hence, Measure of AC is 150°