AnswersPA-Geometry B-CRInscribed Angles

Inscribed Angles Answers

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1
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Given: Circle M with inscribed and congruent radii JM and MLProve: m =

Question illustration
A
reflexive property
B
substitution property
C
base angles theorem
D
second corollary to the inscribed angles theorem
2
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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°
3

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.

Question illustration
A
72°
B
92°
C
148°
D
200°
4

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

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A
12°
B
58°
C
96°
D
116°
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

Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o.

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A
20°
B
40°
C
48°
D
96°
7

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

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A
42°
B
84°
C
96°
D
168°
8

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

Question illustration
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
9

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

Question illustration
A
36°
B
43°
C
72°
D
144°
10

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

Question illustration
A
37°
B
74°
C
148°
D
212°

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Inscribed Angles Answers — PA-Geometry B-CR