Measure Angles in a Circle

In circle O, m∠SOT = 68°. What is m∠SRT?

Circle P has tangents \overline{XY} and \overline{ZY} and chords \overline{WX} and \overline{WZ} as shown in this figure. The measure of ∠ZWX = 70°. What is the measure, in degrees, of ∠XYZ?

SPORTS The figure shows the position of three trees on one part of a disc golf course. At which tree position is the angle between the trees the greatest?

• Tree 1

• Tree 2

• Tree 3

In the circle shown, the measure of arc KJ = 128^o, and the measure of arc ML = 56^o .

Select the measure of each angle below.

Angle N: ​ (a)  

Angle O: ​ (b)  

Angle P: ​ (c)   ​

• 128

• 64

• 36

• 32

• 92

• 56

• 72

• 28

1. (a)   2.​ (b)   3.​ (c)   ​4. ​ (d)   5. ​ (e)  

• 7

• 8

• 118

• 125

• 135

• 146

• 79

• 304

• 145

• 204

Find the value of the angle marked x....

• 40

• 45

• 50

• 60

Mathematical Equivalence

ON

In the circle shown, the measure of arc KJ = 128^o, and the measure of arc ML = 56^o . Select the measure of each angle below. Angle N: ​ (a)   Angle O: ​ (b)   Angle P: ​ (c)   ​

• 128

• 64

• 36

• 32

• 92

• 56

• 72

• 28

Find a and b.

a

b

87

93

74

106

90