AnswersAZ-Common Core Geometry AComplementary and Supplementary Angles

Complementary and Supplementary Angles Answers

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1
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Which angle pairs are supplementary? Check all that apply.

A
∠1 and ∠2
B
∠4 and ∠3
C
∠4 and ∠5
D
∠7 and ∠5
E
∠3 and ∠6
2
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✔ ACD and BCDBCE and ACDECA and ACDDBC and ACE

A
ACD and BCD
B
BCE and ACD
C
ECA and ACD
D
DBC and ACE
3

additionreflexive✔ substitutionsymmetric

A
addition
B
reflexive
C
substitution
D
symmetric
4

1✔ 23

A
1
B
2
C
3
5

complementary anglescongruent anglesright angles✔ supplementary angles

A
complementary angles
B
congruent angles
C
right angles
D
supplementary angles
6

Which statements are true regarding the diagram?

A
GNH and HNJ are complementary.
Option A
B
JNK and KNL are supplementary.
Option B
C
KNL and LNM are complementary.
Option C
D
mHNK + mKNL = 180°
Option D
E
mMNG + mGNH = 90°
Option E
7

What is the measure of EDH?

Question illustration
A
10°
B
40°
C
50°
D
90°
8

What is the measure of CBE?

A
36°
B
72°
C
108°
D
144°
10

Based on the diagram, which reason justifies this statement?If ∠CEF is complementary to ∠DCF, then∠DCF ≅ ∠FEG.

A
Complements of the same angle are congruent.
B
Complements of congruent angles are congruent.
C
Supplements of the same angle are congruent.
D
Supplements of congruent angles are congruent.
11

By the congruent supplements theorem, what can you conclude?

A
CBG DBG
Option A
B
FBC DBG
Option B
C
CBG is supplementary to DBF.
Option C
D
FBC is supplementary to DBG.
Option D
12

complementarycongruentright✔ supplementary

A
complementary
B
congruent
C
right
D
supplementary
13

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14

1 and 23 and 1✔ 3 and 2

A
1 and 2
B
3 and 1
C
3 and 2

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