7.G.5
NAME: ____________________________________
COMPLEMENTARY AND SUPPLEMENTARY ANGLES INTERACTIVE NOTES
Complementary Angles: Two angles whose measures add up to 90˚ are
complementary angles.
Adjacent Complementary Angles
Adjacent angles are two angles
A
that share a common vertex and
side, but have no common interior
C
points.
B
D
∠ABC and ∠CBD are complementary angles because their sum is 90˚.
Nonadjacent Complementary Angles
R
D
T
40
50
S
E
F
∠RST and ∠DEF are complementary angles because their sum is 90˚.
Supplementary Angles: Two angles whose measures add up to 180˚ are
supplementary angles.
Adjacent Supplementary Angles
Adjacent angles are two angles that share a common
Y
vertex and side, but have no common interior points.
135
45
X
W
Z
∠WXY and ∠YXZ are supplementary angles because their sum is 180˚.
Nonadjacent Supplementary Angles
C
D
100
80
A
B
E
∠ABC and ∠DEF are supplementary angles because their sum is 180˚.
F
1.)
Name the following pairs of angles:
a.)
Adjacent Complementary Angles
__________________________
b.)
Nonadjacent Complementary Angles
__________________________
c.)
Adjacent Supplementary Angles
__________________________
d.)
Nonadjacent Supplementary Angles
__________________________
H
A
F
150
30
B
E
60
C
60
30
G
I
D
2.)
a.)
Find the measure of each pair of angles.
b.)
State whether the angles are complementary angles or supplementary
angles.
c.)
State whether the angles are adjacent or nonadjacent.
A
D
B
C
3.)
a.)
Find the measure of each pair of angles.
b.)
State whether the angles are complementary angles or supplementary
angles.
c.)
State whether the angles are adjacent or nonadjacent.
A
C
X
Z
Y
4.)
B
Given an angle whose measure is 56˚, what is the measure of an angle that is
complementary to this angle? Show work.
5.)
Given an angle whose measure is 84˚, what is the measure of an angle that is
supplementary to this angle? Show work.
6.)
What is the measure of an angle that is complementary to ∠ABC?
A.)
180˚
B.)
90˚
C.)
9˚
D.)
99˚
A
C
81
B
7.)
What is the measure of an angle that is supplementary to ∠DEF?
A.)
131˚
B.)
41˚
D
C.)
90˚
D.)
180˚
49
E
F
8.)
Make a pair of adjacent complementary angles with a ruler. Measure each
angle.
Explain why the pair of angles you drew are adjacent complementary angles.
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9.)
Make a pair of nonadjacent supplementary angles with a ruler. Measure each
angle.
Explain why the pair of angles you drew are nonadjacent supplementary angles.
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