Secant Tangent Intersections

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

• 30°

• 36°

• 42°

• 48°

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

∠ ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28° , minor arc AB = 112° , and minor arc DE = 112° , what is the measure of ∠ ACE?

• 14°

• 28°

• 40°

• 54°

What is the measure of angle B?

• 80

• 54

• 52

• 62

Solve for x.

• 7.94

• 8

• 10.58

• 112

In the diagram below, tangent PA and secant PBC are drawn to circle O from external point P. If PB =4 and BC = 5, what is the length of PA?

• 20

• 9

• 8

• 6

Solve for x. 

• 7.94

• 8

• 10.58

• 112

What is the length of GH?

• 10

• 18

• 12

• 4

Using the circle with center O, identify a secant.

• MN

• EC

• OC

• DF

Name a secant.

• BD

• DG

• HF

• AF