Inscribed Angles Answers

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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
6

Angle BAC measures 56°.

Question illustration
A
28°
B
34°
C
56°
D
112°
9

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
11

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

Question illustration
A
24°
B
48°
C
72°
D
96°
12

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
13

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

Question illustration
A
36°
B
43°
C
72°
D
144°
14

Line segment BD is a diameter of circle E.

Question illustration
A
39°
B
78°
C
102°
D
129°
15

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
16

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

Question illustration
A
37°
B
74°
C
148°
D
212°
17

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.

Question illustration
A
52°
B
98°
C
158°
D
177°
18

Angle BAC measures 56°.

Question illustration
A
28°
B
34°
C
56°
D
112°
19

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

Question illustration
A
20°
B
40°
C
48°
D
96°
20

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

Question illustration
A
41°
B
50°
C
114°
D
173°

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