Circle Angles

What is x?

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CCSS.HSG.C.A.2

What is x?

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CCSS.HSG.C.A.2

What is the measure of the internal angle?

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CCSS.HSG.C.A.2

What formula would you use to find m<x?

• angle = 1/2 (arc + arc)

• angle = 1/2 (arc - arc)

• angle = 1/2(arc)

• circumscribed angle = 180 - central angle

Answer explanation

<x is created from the secants that cross OUTSIDE the circle.

angle = 1/2 (larger arc - smaller arc)

Tags

CCSS.HSG.C.A.2

What is true of the two angles highlighted?

• They are central angles

• They are congruent

• They are supplementary

• They from a triangle

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CCSS.HSG.C.A.2

What is true of the highlighted arc and angle in this picture?

• The angle = the arc

• The angle = half the arc

• Twice the angle = the arc

• Half the angle = the arc

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CCSS.HSG.C.A.2

What is true of the highlighted arc and angle in this picture?

• The angle = the arc

• The angle = half the arc

• There is no relationship

• Half the angle = the arc

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CCSS.HSG.C.A.2

Find the m∠2.

• 80⁰
• 45⁰
• 125⁰
• 40⁰

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CCSS.HSG.C.A.2

Solve for x.

• 29
• 33
• 41.5
• 50

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CCSS.HSG.C.A.2

Determine the value of x using the information in the diagram.

• 60º

• 70º

• 80º

• 100º

Tags

CCSS.HSG.C.A.2