Quadrilaterals in a Circle with Algebra

What is the value of x?

• 18

• 8

• 10

• 30

Solve for a.

• 6

• 6.67

• 8.33

• 10

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 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

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

Solve for x and y.

• x=85⁰  y = 150⁰

• x = 85⁰  y = 50⁰

• x = 95⁰   y = 150⁰

• x = 95⁰   y = 50⁰

If a Quadrilateral is inscribed in a circle, then its opposite angles are: _________

• Complementary

• Complimentary

• Supplementary

• Congruent

Find the value of x

• 100

• 105

• 95

• 90

Quadrilateral ABCD is inscribed in circle O, as shown below. If m∠A = 80°, m∠B = 75°, m∠C = (y + 30)°, and m∠D = (x − 10)°, which statement is true?

• x = 85 and y = 50

• x = 90 and y = 45

• x = 110 and y = 75

• x = 115 and y = 70

Answer explanation