This document defines and provides examples of several types of angle pairs: 1) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees. 2) Adjacent angles share a common vertex and side. A linear pair are adjacent angles whose non-common sides form opposite rays. 3) Vertical angles are pairs of non-adjacent angles formed by two intersecting lines. The vertical angles are equal in measure.

1. 1.5 Angle Pair Relationships August 20, 2012
Bellwork
1. (5/12) * (6/25) = ? 1/2*1/5=1/10
2. Classify m Z if Z = 89. acute
3. Name the angle:
P
B J
PBJ (ok so I was hungry)
4. m ADC = ? 65
A D
21 44
C
B
5. What is an angle bisector?
a ray that divides an angle into 2
congruent angles
Aug 25­11:58 AM
HW pg. 38 #4­9, 14­21, 31, 32 1

2. 1.5 Angle Pair Relationships August 20, 2012
1.5 Angle Pair Relationships
Are they in LOVE??
Complementary Angles: Sum of their measures is 90 degrees.
U + Me You're
They give = 90 a cutie
each other °
45
compliments 90
45
°
°
32
°
Supplementary Angles: Sum of their measures is 180 degrees.
They supplement
°
10
0
(complete) each other 180
°
50
80
°
°
Adjacent Angles: angles that share a common vertex and side
Inseparable
1 2
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HW pg. 38 #4­9, 14­21, 31, 32 2

3. 1.5 Angle Pair Relationships August 20, 2012
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HW pg. 38 #4­9, 14­21, 31, 32 3

4. 1.5 Angle Pair Relationships August 20, 2012
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HW pg. 38 #4­9, 14­21, 31, 32 4

5. 1.5 Angle Pair Relationships August 20, 2012
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HW pg. 38 #4­9, 14­21, 31, 32 5

6. 1.5 Angle Pair Relationships August 20, 2012
Linear Pair: adjacent angles where their non-common sides are
opposite rays.
Line up so perfectly
1
2
Vertical Angles: 2 angles form 2 pairs of opposite rays
6
loVe or cupid?
5 3
4
3 & 5 are vertical angles 3 shoots a V at 5
4 & 6 are vertical angles 4 shoots a V at 6
Aug 25­3:08 PM
HW pg. 38 #4­9, 14­21, 31, 32 6

7. 1.5 Angle Pair Relationships August 20, 2012
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HW pg. 38 #4­9, 14­21, 31, 32 7

8. 1.5 Angle Pair Relationships August 20, 2012
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HW pg. 38 #4­9, 14­21, 31, 32 8

9. 1.5 Angle Pair Relationships August 20, 2012
HW
pg. 38
#4-9, 14-21, 31 & 32
Aug 26­8:07 AM
HW pg. 38 #4­9, 14­21, 31, 32 9