Central, Inscribed and Circumscribed Angles

An inscribed angle is ___________ its intercepted arc.

• equal to

• half the measure of

• supplementary to

• not related to

Find the measure of the indicated angle.

• 65°

• 130°

• 50°

• 90°

Find the measure of the indicated angle.

• 45°

• 90°

• 60°

• 135°

Line segments QP and QR are tangent to the circle. What is the measure of minor arc PR?

• 230 degrees

• 100 degrees

• 130 degrees

• 180 degrees

Line segments LK and LM are tangent to the circle. What is the measure of angle KLM?

• 65 degrees

• 115 degrees

• 180 degrees

• 75 degrees

Line segments UT and UV are tangent to the circle. What is the measure of angle TUV?

• 52 degrees

• 75 degrees

• 49 degrees

• 61 degrees

Line segments CD and CB are tangent to the circle. Find x.

• x = 5

• x = 6

• x = 7

• x = 8

The sides of circumscribed angles are _________ to the circle.

<B is the circumscribed angle.

• tangent

• secant

• parallel

• perpendicular

Answer explanation

tangent = touches the circle at one point

Identify the angle highlighted in blue.

• Center of the circle

• minor arc

• Central angle

• Inscribed angle

What formula would you use to find m<A?

• angle = 1/2 (arc + arc)

• angle = 1/2 (arc - arc)

• angle = 1/2(arc)

• circumscribed angle = 180 - central angle

Answer explanation

<A is an inscribed angle.
angle = 1/2(arc)