Cyclic Quadrilaterals Inscribed in Circles

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

Find the value of x

• 100

• 105

• 95

• 90

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

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

Choose the correct cyclic quadrilateral for JKLM. You can choose more than one answer.

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Given the following inscribed quadrilateral, what are the values of x and y?

• x = 70; y = 120

• x = 30; y = 20

• x = 20; y = 30

• x = 70; y = 40

Solve for x.

• x = 12

• x = 32

• x = 8

• x = 16

• A
• B
• C
• D