Central and Inscribed Angles

Front

inscribed angle: an angle with its vertex _____________ the circle

Back

on

Front

What is the measure of arc AYB if the total circle is 360° and the inscribed angle is 130°?

Back

260°

Front

What is the measure of arc AD if the inscribed angle ACB is 22.5°?

Back

38°

Front

What is m∠ACB if arc AB measures 45°?

Back

22.5°

Front

What is the measure of arc AXB if the inscribed angle AXB is 50°?

Back

100°

Front

Central angle: an angle with its vertex _____________ the circle

Back

at the center of

Front

The relationship between an inscribed angle and its intercepted arc: the inscribed angle is _____________ the measure of the arc.

Back

half of

Front

If the measure of arc AYB is 260°, what is the measure of the inscribed angle ACB?

Back

130°

Front

If an inscribed angle measures 90°, what is the measure of its intercepted arc?

Back

180°

Front

What is the measure of an inscribed angle that intercepts an arc measuring 100°?

Back

50°