15.2 Angles in Inscribed Quadrilaterals

Find a and b.

• a=74 degrees
  b=93 degrees
• a=93 degrees
  b=74 degrees
• a=87 degrees
  b=106 degrees
• a=106 degrees
  b=87 degrees

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CCSS.HSG.C.A.2

Find the value of x

• 100

• 105

• 95

• 90

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CCSS.HSG.C.A.2

Solve for x and y

• x = 11, y = 4
• x = 4, y = 11
• x = 0, y = 15
• x = 15, y = 0

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CCSS.HSG.C.A.2

Find the value of d.

• 115

• 65

• 96

• 180

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CCSS.HSG.C.A.2

Solve for x and y

• x = 11, y = 4
• x = 4, y = 11
• x = 0, y = 15
• x = 15, y = 0

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CCSS.HSG.C.A.2

Find m∠R.

• 24⁰
• 41⁰
• 67⁰
• 139⁰

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CCSS.HSG.C.A.2

Quadrilateral ABCD is inscribed in circle O, as shown below.

• x = 85 and y = 50

• x = 90 and y = 45

• x = 110 and y = 75

• x = 115 and y = 70

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CCSS.HSG.C.A.2

If a quadrilateral is inscribed in a circle, then its ____angles are _____.

• adjacent; complimentary

• opposite; complimentary

• adjacent; supplementary

• opposite; supplementary

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CCSS.HSG.C.A.3

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

• A and B are supplementary

• A and C are supplementary

• m∠ A = m∠ B

• m∠ C = m∠ D

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CCSS.HSG.C.A.3

In the diagram below, quadrilateral JUMP is inscribed in a circle..

Opposite angles J and M must be

• right

• complementary

• supplementary

• congruent

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CCSS.HSG.C.A.2