Angle Relationships with Complementary and Supplementary Angles

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Angle Relationships with Complementary and
Supplementary Angles
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A ray is a part of a line that starts at one
point and extends forever in one direction.
J
KJ
K
N
J
M
Parallel lines are two lines that never cross
K
T
M
Perpendicular lines are two lines that form a 900
angle.
Quick review not in notes
A
H
3
Quick review not in notes
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The measures of angles that fit together to form
a straight line, such as ?FKG, ?GKH, and ?HKJ,
add to 180.
J
F
K
A right angle measures 90. An acute angle
measures less than 90. An obtuse angle measures
greater than 90 and less than 180. Complementary
angles have measures that add to 90.
Supplementary angles have measures that add to
180.
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EX1) Name the angle.
1
?TQS
?SQT
?Q
right
?1
.
EX2) Name the angle.
Z
.
.
?KJZ
?J
acute
?ZJK
?2
2
K
J
EX3) Name the angle.
3
?HBV
?B
obtuse
?VBH
?3
EX4) Name the angle.
.
.
.
F
M
N
?NMF
?M
straight
?FMN
4
?4
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- Opposite Angles
Vertical Angles
Adjacent Angles
- Touching Angles. Common vertex and side. No
overlap.
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Find X
EX 7)
2x 15 75
- 15
- 15
2x 60
2
2
x 30
We know these angles are vertical so they are
congruent ( )
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EX4) Name a pair of complementary angles.
?TQP, ?RQS
m?TQP m? RQS 47 43 90
EX5) Name two pairs of supplementary angles.
?TQP, ?RQT
m?TQP m? RQT 47 133 180
m?SQP m? SQR 137 43 180
?SQP, ?SQR
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Assignment Page 593 4-11Page 601 1-6