Arcs Relationships in Circles

Find the measure of ∠ABE.

• 129⁰

• 51⁰

• 143⁰

• 115⁰

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CCSS.HSG.C.A.2

What is the value of x?

If necessary, round to the nearest hundredth.

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CCSS.HSG.C.A.2

Find the value of x.

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CCSS.HSG.C.A.2

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 55

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CCSS.HSG.C.A.2

What is the measure of arc NM?

• 116

• 117

• 118

• 119

• 19

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CCSS.HSG.C.A.2

• A

• B

• C

• D

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CCSS.HSG.C.A.2

Solve for x (arc WQ)

• x = 49.5

• x = 45

• x = 99

• x = 147

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CCSS.HSG.C.A.2

Find the measure of the arc or angle indicated in the diagram.

• 106

• 53

• 180

• 212

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CCSS.HSG.C.A.2

Arc FH is an example of ______________

• Major Arc

• Chord

• Intercepted Arc

• Semicircle

AXB is a

• Minor arc

• Major arc