Inscribed Angles

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

If the measure of arc AB is 80°, what is the measure of the inscribed angle ACB?

Back

The measure of angle ACB is 40°.

Front

What is the measure of an inscribed angle if it intercepts a semicircle?

Back

The measure of the inscribed angle is 90°.

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

The two inscribed angles are equal.

Front

Find the measure of angle G if it intercepts an arc measuring 108°.

Back

The measure of angle G is 54°.

Front

Find m∠PRQ if it intercepts an arc measuring 102°.

Back

m∠PRQ = 51°.

Front

What is the measure of angle F if it intercepts an arc measuring 92°?

Back

The measure of angle F is 46°.

Front

Find the measure of angle B if it intercepts an arc measuring 40°.

Back

The measure of angle B is 20°.

Front

What is m∠LMO if segment LO is a diameter of Circle P?

Back

m∠LMO = 90°.