In a circle, if the measure of an inscribed angle is 40 degrees, what is the mea

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Question: In a circle, if the measure of an inscribed angle is 40 degrees, what is the measure of the arc it intercepts?

Options:

Correct Answer: 80 degrees

Solution:

The measure of the arc intercepted by an inscribed angle is twice the measure of the angle, so it is 40 * 2 = 80 degrees.

In a circle, if the measure of an inscribed angle is 40 degrees, what is the measure of the arc it intercepts?

In a circle, if the measure of an inscribed angle is 40 degrees, what is the measure of the arc it intercepts?

Step 1: Understand that an inscribed angle is an angle formed by two chords in a circle that meet at a point on the circle.
Step 2: Know that the arc intercepted by the inscribed angle is the part of the circle that lies inside the angle.
Step 3: Remember the rule: the measure of the arc intercepted by an inscribed angle is always twice the measure of the angle.
Step 4: Since the inscribed angle measures 40 degrees, multiply this by 2 to find the measure of the intercepted arc.
Step 5: Calculate 40 degrees * 2 = 80 degrees.

Inscribed Angles and Arcs – The measure of an inscribed angle is half the measure of the arc it intercepts.