Download Complimentary Angles

CHAPTER 1: ESSENTIALS OF
GEOMETRY
1.5.1 Describe Angle Pair Relationships
DEFINITIONS
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Adjacent Angles – Two angles are adjacent if they
share a common vertex and side
Complimentary Angles – Two angles are
complimentary if the sum of their measures is 90⁰
Supplementary Angles – Two angles are
supplementary if the sum of their measures is 180 ⁰
Adjacent
Complimentary Angle:
Non-Adjacent
Adjacent
Complimentary Angle: Supplementary Angle:
1
1
2
1
2
2
FIND ALL PAIRS OF COMPLIMENTARY AND
SUPPLEMENTARY ANGLES:
B
A
C
148⁰
58⁰
148⁰
32⁰
D
154⁰
E
ANGLE PAIRS
Linear Pair – two adjacent angles are a linear
pair if their noncommon sides are opposite rays (a
line)
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The angles of a linear pair are supplementary
Vertical angles – two angles are vertical if their
sides form two pairs of opposite rays
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Linear Pair:
1 and 2
2 and 3
3 and 4
4 and 1
Vertical angles are congruent
4
1
3
2
Vertical Angles:
1  3
2  4
FIND THE VALUE OF X AND Y
(8x + 26)⁰
(3x)⁰
(5y + 38)⁰
HOMEWORK
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pp. 38 – 41
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1, 2, 5, 7, 11, 15, 19, 25 - 35 odd, 49, 60, 63