Secants and Tangents Lines to a Circle

Find the value of x using the given chords, secants, and tangents. If your answer is not an integer, round to the nearest tenth.

Hint – use theorem 9.15 case III

• 13.1

• 13.9

• 14.5

• 15.3

Segment ED is tangent to ⊙O. Find the value of x.Hint - tangent lines intersect and form right angles!

• 44

• 48

• 52

• 56

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

• 36

• 35

• 30

• 41

Find the measure of angle ABD.

• 14

• 51

• 37

• 65

What is the measure of angle 2?

• 80

• 45

• 125

• 40

Find the measure of minor arc AV.

• 55°

• 115°

• 85°

• 95°

Find m∠UST.

• 119°

• 163°

• 44°

• 61°

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

• 2

• 3

• 9

• 14

What is the m∠C?

• 50

• 25

• 100

• 55