AnswersAZ-Common Core Geometry AComplementary and Supplementary Angles

Complementary and Supplementary Angles Answers

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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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Use the diagram to identify the special angle pairs.

Answers:
ADC and BDC are .:supplementary angles
A pair of complementary angles is angles .:ACD and BCD
3

Complete the missing parts of the paragraph proof.

Answers:
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:supplementary
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:3 and 2
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:substitution
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:2
4

✔ 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
14

Which statements are true regarding the diagram?

A
[image 1] GNH and [image 2] HNJ are complementary.
Option A
B
[image 1] JNK and [image 2] KNL are supplementary.
Option B
C
[image 1] KNL and [image 2] LNM are complementary.
Option C
D
m [image 1] HNK + m [image 2] KNL = 180°
Option D
E
m [image 1] MNG + m [image 2] GNH = 90°
Option E
16

What is the measure of Angle EDH?

Question illustration
A
10°
B
40°
C
50°
D
90°
18

What is the measure of Angle CBE?

Question illustration
A
36°
B
72°
C
108°
D
144°
20

Let mA = 40°. If B is a complement of A, and C is a supplement of B, find these measures.

Answers:
=:50
=:130
21

Question text not available

Answer:

130

28

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.
30

By the congruent supplements theorem, what can you conclude?

A
[image 1] CBG [image 2] [image 3] DBG
Option A
B
[image 1] FBC [image 2] [image 3] DBG
Option B
C
[image 1] CBG is supplementary to [image 2] DBF.
Option C
D
[image 1] FBC is supplementary to [image 2] DBG.
Option D
32

Complete the missing parts of the paragraph proof.

Answers:
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:supplementary
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:3 and 2
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:substitution
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the meas:2
33

1 and 23 and 1✔ 3 and 2

A
1 and 2
B
3 and 1
C
✔ 3 and 2
34

additionreflexive✔ substitutionsymmetric

A
addition
B
reflexive
C
✔ substitution
D
symmetric
35

1✔ 23

A
1
B
✔ 2
C
3

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