Angles Formed by Tangents Chords and Secants of Circle

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc AD = 156° , what is the measure of ∠ ABD?

• 30°

• 36°

• 42°

• 48°

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CCSS.HSG.C.A.2

In the circle, find the measure of angle CAB.

• A

• B

• C

• D

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CCSS.HSG.C.A.2

If arc VY = 132° and arc XV = 50°, what is the measure of ∠ YUV?

• 82°

• 91°

• 182°

• 41°

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CCSS.HSG.C.A.2

Find the value of x

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CCSS.HSG.C.A.2

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

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CCSS.HSG.C.A.2

What is in the picture?

• Two tangents

• Two Secants

• Two Chords

• One Secant and One Tangent

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CCSS.HSG.C.A.2

Find the measure of ∠ABD.

• 129⁰

• 51⁰

• 100⁰

• 65⁰

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CCSS.HSG.C.A.2

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CCSS.HSG.C.A.2

Find the value of x.

• 45

• 10

• 20

• 90

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CCSS.HSG.C.A.2

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

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CCSS.HSG.C.A.2