Inscribed Angles

Question 1

Given: Circle O with diameter LN and inscribed angle LMNProve: is a right angle.

Revolt · Accepted Answer

inscribed angle theorem

Question 2

Line segment TS is tangent to circle O at point N.

Revolt · Accepted Answer

74°

Question 3

Circle O is shown. Angle C A B intercepts arc C B. Arc C B has a measure of 48 degrees.

Revolt · Accepted Answer

24°

Question 4

Circle F is inscribed with quadrilateral E D C B. Point A is on the circle between points E and B. Angle D E B is 70 degrees and angle D B C is 80 degrees. The measure of arc D C is 88 degrees.

Revolt · Accepted Answer

148°

Question 5

Line EF is tangent to circle G at point A.

Revolt · Accepted Answer

190°

Question 6

Angle BAC measures 56°.

Revolt · Accepted Answer

56°

Question 7

In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°.

Revolt · Accepted Answer

36°

Question 8

Line segment XY is tangent to circle Z at point U.

Revolt · Accepted Answer

42°

Question 9

Given: Circle M with inscribed and congruent radii JM and MLProve: m =

Revolt · Accepted Answer

base angles theorem

Question 10

Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.

Revolt · Accepted Answer

58°

Inscribed Angles Answers

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