Angles and Quadrants in Circles

Given the following inscribed quadrilateral, find the value of x and y. The quadrilateral is NOT drawn to scale. x =​ (a)   and y = (b)  

• 40

• 70

• 20

• 120

• 60

• 30

• 75

• 15

• 25

• 35

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

Opposite angles of an inscribed quadrilateral are always​ ​ (a)  

• supplementary

• equal

• perpendicular

• complementary

Given the following inscribed quadrilateral, what is the value of y?

• 10

• 20

• 30

• 40

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

What is the measure of arc EAB  in circle F?

*HINT: Find ARC CB FIRST THEN 2( ANGLE EDC) =ARC EAB*

• 72

• 92

• 148

• 200

The opposite angles in an inscribed quadrilateral are supplementary.

Find the measures of angles D and C

a

b

87

97

Answer explanation

m<C = 180 - 83 = 97

m<D = 180 - 93 = 87

The opposite angles in an inscribed quadrilateral are supplementary.

Find the measures of angles D and C

a

b

84

73

Answer explanation

m<C = 180 - 96 = 84

m<D = 180 - 107 = 73

What is being represented in the image?

• Radius

• Tangent

• Interior Angle

• Exterior Angle

AB is a diameter. The measure of angle C is 90 degrees and angle A is 79 degrees. Find the m < B.

• 101

• 90

• 11