AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Linear Pairs and Vertical Angles

Complementary and Supplementary Angles Answers

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By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.

A
35
B
45
C
90
109480
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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
109481

✔ 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
109506

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

Answers:
=:50
=:130
109507

Question text not available

Answer:

130

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

A
1 and 2
B
3 and 1
C
✔ 3 and 2
109510

additionreflexive✔ substitutionsymmetric

A
addition
B
reflexive
C
✔ substitution
D
symmetric
109511

1✔ 23

A
1
B
✔ 2
C
3
109512

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
109513

What is the measure of Angle EDH?

Question illustration
A
10°
B
40°
C
50°
D
90°
109514

What is the measure of Angle CBE?

Question illustration
A
36°
B
72°
C
108°
D
144°
109515

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.
109516

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
109517

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

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