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 an arc is 80°, what is the measure of the inscribed angle that intercepts it?

Back

40°

Front

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

Back

90°

Front

How do you find the measure of an angle formed by two tangents to a circle?

Back

The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.

Front

What is the measure of angle A if it intercepts an arc measuring 120°?

Back

Angle A measures 60°.

Front

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

Back

The two inscribed angles are equal.

Front

What is the measure of angle B if it intercepts an arc measuring 150°?

Back

Angle B measures 75°.

Front

If angle C measures 45°, what is the measure of the arc it intercepts?

Back

The intercepted arc measures 90°.

Front

What is the formula to calculate the measure of an inscribed angle?

Back

Measure of inscribed angle = 1/2 * measure of intercepted arc.