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

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

What is the measure of angle A?

• 34°

• 180°

• 112°

• 79°

Solve for x.

• x = 12

• x = 32

• x = 8

• x = 16

If a quadrilateral is inscribed in a circle, what is the sum of its opposite angles?

If a quadrilateral is inscribed in a circle, then its opposite angles are ____?

• congruent

• complementary

• supplementary

• linear pair

Quadrilateral ABCD is inscribed in the circle. If m∠ A = 95° , what also must be true?

• m∠B = 95°

• m∠C = 85°

• m∠D = 105°

• m∠D = 95°

• A
• B
• C
• D

• A
• B
• C
• D

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