Angle Relationships

Points N and R both lie on circle O. Line segment RQ is tangent to the circle at point R. What is the perimeter of triangle RON?

b. 15.0 units

What is the measure of circumscribed <X?

c. 90°

What is the measure of angle COA?

160°

Major arc JL measures 300°. Which describes triangle JLM?

d. equilateral

Angle X is a circumscribed angle of circle V. Which name best describes figure VWXY?

a. square

Angle BCD is a circumscribed angle of circle A. What is the measure of minor arc BD?

d. 100°

Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD. Which statements about the arcs and angles are true? Check all that apply.

<EFD ~= EGD ED ~= FD mFD = 120°

Points E, F, and D are located on circle C. The measure of arc ED is 108°. What is the measure of angle ECD?

c. 108°

The measure of minor arc JL is 60°.
What is the measure of angle JKL?

120°

Points A, B, C, and D lie on circle M. Line segment BD is a diameter. What is the measure of angle ACD?

b. 67.5°

Points E, F, and D are located on circle C. The measure of arc ED is 68°. What is the measure of angle EFD?

a. 34°

Points N, P, and R all lie on circle O. Arc PR measures 120°. How does the measure of angle RNQ relate to the measure of arc PR?

a. Angle RNQ is equal in measure to arc PR.

What is the measure of angle EFD?

c. 47.5°

Line segment ON is perpendicular to line segment ML. What is the length of chord ML?

b. 24 units