Arcs and Angle Relationships in Circles

Find the value of x.

• 31

• 61

• 91

• 1

Find the measure of ∠ABE.

• 129⁰

• 51⁰

• 143⁰

• 115⁰

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 55

x = ?

• 90

• 180

• 45

• 80

• Not enough information given to determine the value of x!

What is the measure of arc NM?

• 116

• 117

• 118

• 119

• 19

• A

• B

• C

• D

Find the measure of the arc or angle indicated in the diagram.

• 106

• 53

• 180

• 212

Solve for x (arc WQ)

• x = 49.5

• x = 45

• x = 99

• x = 147

AXB is a

• Minor arc

• Major arc

AXB is a

• Minor arc

• Major arc

• Inscribed angle