Angles Formed by Secants and Tangents

Find the measure of ∠ABD.

• 129⁰

• 51⁰

• 100⁰

• 65⁰

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CCSS.HSG.C.A.2

∠ 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°

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CCSS.HSG.C.A.2

Find the indicated angle measure. (m∠JLK)

• 298

• 62

• 31

• 149

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CCSS.HSG.C.A.2

Find the value of x.

• 15

• 18

• 21

• 24

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CCSS.HSG.C.A.2

Find the indicated arc measure. (measure of arc AD)

• 68

• 34

• 25

• 50

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CCSS.HSG.C.A.2

• 50

• 75

• 210

• 105

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CCSS.HSG.C.A.2

What is measurement of arc GH?

• 46

• 62

• 110

• 70

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CCSS.HSG.C.A.2

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

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CCSS.HSG.C.A.2

What is the measure of x? (Hint: You have a diameter there!)

• 8

• 32

• 24

• 4

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CCSS.HSG.C.A.2

Given two secants, solve for x.

• 10°

• 20°

• 30°

• 40°

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CCSS.HSG.C.A.2