Angles Formed by Intersecting Chords

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

• 190º

• 130º

• 120º

• 70º

Tags

CCSS.HSG.C.A.2

What is the value of x ?

• 136º

• 70º

• 68º

• 66º

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CCSS.HSG.C.A.2

Which expression can be used to solve for the unknown angle measure?

• ? = (50 + 99) ÷ 2

• ? = 50 + 99

• ? = 198 - 50

• ? = 180 - (50 + 90)

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CCSS.HSG.C.A.2

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

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CCSS.HSG.C.A.2

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

• 45°

• 50°

• 55°

• 60°

Tags

CCSS.HSG.C.A.2

Note that you CANNOT assume the chords cross at the center of the circle.

Only enter a number in the blank (no variables).

Mathematical Equivalence

ON

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CCSS.HSG.C.A.2

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

• 44°

• 47°

• 50°

• 53°

Tags

CCSS.HSG.C.A.2

In the diagram, two chords intersect, forming a vertex in the interior of the circle. Solve for the value of "x"

• 45°

• 50°

• 65°

• 60°

Tags

CCSS.HSG.C.A.2

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

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CCSS.HSG.C.A.2

If arc SQ = 92° and arc QR = 86° , what is the measure of ∠ RPS?

• 30°

• 35°

• 40°

• 45°

Tags

CCSS.HSG.C.A.2