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In a circle, if an angle inscribed in the circle intercepts an arc of 60 degrees

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Question: In a circle, if an angle inscribed in the circle intercepts an arc of 60 degrees, what is the measure of the angle?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 30 degrees

Solution: 

The inscribed angle is half the measure of the intercepted arc: 60 degrees / 2 = 30 degrees.

In a circle, if an angle inscribed in the circle intercepts an arc of 60 degrees

Practice Questions

Q1
In a circle, if an angle inscribed in the circle intercepts an arc of 60 degrees, what is the measure of the angle?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

In a circle, if an angle inscribed in the circle intercepts an arc of 60 degrees, what is the measure of the angle?
  • Inscribed Angles – An inscribed angle in a circle is formed by two chords that share an endpoint, and its measure is half the measure of the intercepted arc.
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