AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Linear Pairs and Vertical 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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A pair of complementary angles is angles .

A
ACD and BCD
B
BCE and ACD
C
ECA and ACD
D
DBC and ACE
109506

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

Answers:
Part 1:50
Part 2:130
109507

Question text not available

Answer not available
109508

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
109509

1 and 23 and 1✔ 3 and 2

Answer not available
109510

additionreflexive✔ substitutionsymmetric

Answer not available
109511

1✔ 23

Answer not available
109512

ADC and BDC are .

A
complementary angles
B
congruent angles
C
right angles
D
supplementary angles
109513

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
109514

What is the measure of EDH?

Question illustration
A
10°
B
40°
C
50°
D
90°
109515

What is the measure of CBE?

Question illustration
A
36°
B
72°
C
108°
D
144°
109516

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.
109517

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
109518

Complete the missing parts of the paragraph proof. 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 measure of angle from each side. You get m1 = m3, or 1 3, by the definition of congruence.

Answers:
Selection 1:supplementary
Selection 2:3 and 2
Selection 3:substitution
Selection 4:2

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