Inscribed Angles (has)

Line EF is tangent to circle G at point A. If the measure of CAE is 95°, what is the measure of CBA?

190°

In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°. What is the measure of ABC?

a. 36°

What is the measure of arc EF in circle H?

a. 41°

Line segment XY is tangent to circle Z at point U. If the measure of UV is 84°, what is the measure of YUV?

a. 42°

Given: quadrilateral ABCD inscribed in a circle. Prove: <A and <C are supplementary, <B and <D are supplementary. What is the missing information in the paragraph proof?

a. inscribed angle

Angle KJL measures (7x - 8)°. Angle KML measures (3x + 8)°. What is the measure of arc KL?

b. 40°

Line segment BD is a diameter of circle E. What is the measure of arc BC?

b. 78°

What is the measure of arc ECF in circle G?

b. 98°

Given: Circle O with diameter LN and inscribed angle LMN Prove: <LMN is a right angle. What is the missing reason in step 5?

b. inscribed angle theorem

Given: Circle M with inscribed <KJLand congruent radii JM and ML Prove: m<MJL = 1/2 (mKL) What is the missing reason in step 8?

b. substitution property

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of the circle V. What is the measure of WUX in circle V?

c. 120°

Line segment TS is tangent to circle O at point N. If the measure of QNT is 74°, what is the measure of QPN?

c. 148°

What is the measure of EAB in circle F?

c. 148°

Angle BAC measures 56°. What is the measure of angle BDC?

c. 56°

Angle ABD measures (4x + 10)°. Angle ACD measures (5x - 2)°. What is the measure of arc AD?

d. 116°