AnswersCR CCSS Math 2 S2 M2960OXSolving for Angle Measures of Right Triangles

Central Angles Answers

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1
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In circle D, ∠EDH ≅ ∠EDG.

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A
114°
B
123°
C
228°
D
246°
2
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In circle A, ∠BAE ≅ ∠DAE.

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A
14
B
17
C
27
D
34
3

In circle T, ∠PTQ ≅ ∠RTS.

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A
3 units
B
4 units
C
6 units
D
7 units
4

In circle N, KL ≅ ML.

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A
66°
B
74°
C
77°
D
80°
5

In circle A, ∠BAE ≅ ∠DAE.

Question illustration
A
14 units
B
17 units
C
27 units
D
34 units
6

Circle D is shown with the measures of the minor arcs.

Question illustration
A
∠EDH and ∠FDG
B
∠FDE and ∠GDH
C
∠GDH and ∠EDH
D
∠GDF and ∠HDG
7

QR is tangent to circle P at point Q.

Question illustration
A
5.6 units
B
6.1 units
C
8.3 units
D
9.8 units
8

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

Question illustration
A
78°
B
84°
C
88°
D
96°
9

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.

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A
They always have equal measures.
B
The difference of their measures is 90°.
C
The sum of their measures is 180°.
D
Their measures cannot be equal.
10

Angles PTQ and STR are vertical angles and congruent.

Question illustration
A
QP and SR
B
QR and
Option B
C
PR and RS
D
PR and PS
11

is tangent to circle G at point F.

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A
10 units
B
12 units
C
20 units
D
24 units
12

In circle N, KL ≅ ML.

Question illustration
A
77°
B
90°
C
132°
D
154°
13

Angles PTQ and STR are vertical angles and congruent.

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
14

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
15

Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees.

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A
Arc G H
Option A
B
Arc F H
Option B
C
Arc G E
Option C
D
Arc F G
Option D

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