Question

An angle is inscribed in a circle. The arc intercepted by this angle is 40 degrees. What is the measure of the inscribed angle?

A. 60 degrees
B. 40 degrees
C. 20 degrees
D. 80 degrees

Answer 1

Based on the inscribed angle theorem, the measure of the inscribed angle is: C. 20 degrees.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, it states that, the measure of inscribed angle in a circle equals half the measure of the arc it intercepted.

Therefore, we would have:

Measure of intercepted arc = 40 degrees

Measure of inscribed angle = 1/2(40)

Measure of inscribed angle = 20 degrees.

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

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