AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Euclidean Geometry

Complementary and Supplementary Angles Answers

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1
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Triangle ABC is a right triangle.

Question illustration
A
They are congruent.
B
They are complementary.
C
They are supplementary.
D
There is no relationship between them.
2
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The figure shows three lines that intersect at point N.

Question illustration
A
42°
B
48°
C
132°
D
138°
3

Given:1 is complementary to 2. 2 is complementary to 3.Prove:m1 = m3

Question illustration
A
m1 = m2
Option A
B
m1 + m2 = 90°
Option B
C
m2 = m3
Option C
D
m2 + m3 = 180°
Option D
4

Figure LMNO is a parallelogram.Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is °.

Answer:

180

5

Given: intersects at point C. Prove: DCB ECA

Question illustration
A
linear pair postulate
B
given
C
definition of complementary angles
D
congruent complements theorem
6

Which statements are true about the angles in the diagram? Select three options.

A
Angle ACE is supplementary to angle BCD.
B
Angle BCE is supplementary to angle ACE.
C
Angle BCD is supplementary to angle BCE.
D
Angle ACE is congruent to angle BCE.
E
Angle BCD is congruent to angle ACE.
7

Points A, B, and C are on line AC.

Question illustration
A
40°
B
50°
C
60°
D
70°
8

Lines DE and AB intersect at point C.

Question illustration
A
12
B
25
C
38
D
52
9

In the figure, RQS QLK.

Question illustration
A
36
B
72
C
108
D
144
10

Angles A and B are complementary.

Question illustration
A
34
B
56
C
68
D
79
11

Given: intersects at point C. Prove: DCB ECA

Question illustration
A
linear pair postulate
B
given
C
definition of complementary angles
D
congruent complements theorem
12

Triangle ABC is a right triangle.

Question illustration
A
They are congruent.
B
They are complementary.
C
They are supplementary.
D
There is no relationship between them.
13

Angles 1 and 2 form a right angle.

Question illustration
A
linear
B
congruent
C
complementary
D
supplementary
14

Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR.

Question illustration
A
They are congruent.
B
They are complementary.
C
They are supplementary.
D
They are right angles.
15

The figure shows three lines that intersect at point N.

Question illustration
A
42°
B
48°
C
132°
D
138°
16

Lines DE and AB intersect at point C.

Question illustration
A
12
B
25
C
38
D
52
17

Given:1 is complementary to 2. 2 is complementary to 3.Prove:m1 = m3

Question illustration
A
m1 = m2
Option A
B
m1 + m2 = 90°
Option B
C
m2 = m3
Option C
D
m2 + m3 = 180°
Option D
18

Angles A and B are complementary.

Question illustration
A
34
B
56
C
68
D
79

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