Lesson 3: Inscribed Angles Answers

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

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A
24°
B
48°
C
72°
D
96°
2
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Line segment XY is tangent to circle Z at point U.

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A
42°
B
84°
C
96°
D
168°
3

Angle BAC measures 56°.

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A
28°
B
34°
C
56°
D
112°
4

Line EF is tangent to circle G at point A.

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A
90°
B
95°
C
190°
D
195°
5

Line segment GJ is a diameter of circle L. Angle K measures (4x + 6)°.

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A
21
B
24
C
32
D
44
6

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

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A
HL theorem
B
inscribed angle theorem
C
diagonals of a rhombus are perpendicular.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
7

Circle H is inscribed with quadrilateral D E F G. Angle E is 123 degrees. The measure of arc D E is 73 degrees.

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A
41°
B
50°
C
114°
D
173°
8

Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees.

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A
52°
B
98°
C
158°
D
177°
9

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

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A
36°
B
43°
C
72°
D
144°
10

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

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A
37°
B
74°
C
148°
D
212°

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