Measure of Angles in a Circle

If two chords of a circle intersect inside the circle, the measure of the angle formed is equal to:

• Half the sum of the measures of the arcs intercepted by the angle and its vertical angle

• Half the difference of the measures of the arcs intercepted by the angle and its vertical angle

• The sum of the measures of the arcs intercepted by the angle and its vertical angle

• The difference of the measures of the arcs intercepted by the angle and its vertical angle

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

If a tangent and a chord intersect at a point on a circle, the angle between the tangent and the chord is equal to:

• The angle in the alternate segment

• The angle at the center

• The angle subtended by the chord at the circumference

• The angle subtended by the chord at the center

Tags

CCSS.HSG.C.A.2

Find a and b.

a

b

87

90

93

106

74

Tags

CCSS.HSG.C.A.2

What is the measure of angle XNM?

• 80

• 160

• 40

• 90

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

In a circle, the angle subtended by a diameter at the circumference is:

Tags

CCSS.HSG.C.A.2

In a cyclic quadrilateral, the opposite angles are:

• Equal

• Supplementary

• Complementary

• None of the above