Tangents and Circumscribed Angles

What is the measure of ∠BDC?

• 64°

• 128°

• 32°

• 116°

What is the measure of ∠BFE?

• 180°

• 90°

• 45°

• 360°

What is the measure of ∠EBC?

• 90°

• 64°

• 32°

• 58°

What is the measure of ∠ABG?

• 90°

• 124°

• 62°

• 56°

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

• 26

• 57

• 66

• 114

Solve for x.

• 29

• 33

• 41.5

• 50

What is the measure of ∠BGC?

• 90°

• 124°

• 62°

• 56°

Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.

• x = 14.4

• x = 8.9

• x = 16

• x = 8

Find x. P is the center of the circle. Segments that appear to be tangent are tangent.

• 11.2

• 18.0

• 25.0

• 30.0

In the figure, PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120° then ∠APB =

• 60⁰

• 30⁰

• 120⁰

• 75⁰