Tangents of a Circle

Tangents of a Circle

Review and Practice

Find the indicated measure...

If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of the intercepted arc.

Multiple Choice

line t is tangent to the circle. Find indicated measure.

• 101 degrees

• 50.5 degrees

• 360 degrees

• 202 degrees

Multiple Choice

line t is tangent to the circle. Find indicated measure.

• 51 degrees

• 102 degrees

• 204 degrees

• 360 degrees

Multiple Choice

line t is tangent to the circle. Find indicated measure.

• 112 degrees

• 360 degrees

• 224 degrees

• 56 degrees

If two chords intersect inside a circle, then the measure of each angle is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle

Multiple Choice

Find x

• 94 degrees

• 47 degrees

• 3 degrees

• 180 degrees

Multiple Choice

Find x

• 222 degrees

• 84 degrees

• 42 degrees

• 360 degrees

Multiple Choice

• 41 degrees

• 111 degrees

• 35 degrees

• 70 degrees

Multiple Choice

• 26 degrees

• 52 degrees

• 104 degrees

• 119 degrees

A circumscribed angle is an angle whose sides are tangent to a circle.  

Multiple Choice

In the figure, m P∠= ° 16 and arc CO = ° 96 . Find indicated measurement. Arc AM.

• 96 degrees

• 16 degrees

• 32 degrees

• 64 degrees

The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. 

Multiple Choice

• 63 degrees

• 48 degrees

• 111 degrees

• 24 degrees