1. Section 1.6 Pairs of Angles
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Section 1.6 Pairs of Angles

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Adjacent Angles
Adjacent Angles are two angles that share a common vertex & side (ray), but have NO common interior points.
(they have the same vertex, but don’t overlap) 2 1

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Not Adjacent Angles 2 1 2 1

4. Vertical (Opposite) Angles
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Vertical (Opposite) Angles 2
Vertical Angles are two angles that share a common vertex & whose sides form two pairs of opposite rays. 4

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Linear Pair
A Linear Pair of angles are two adjacent angles whose non-common sides are opposite rays. 1 2

6. Discuss Angles 6/18 Vertical angles? Adjacent angles? 2 Linear pair? 1
Adjacent angles not a linear pair? 2 1 3 4 5

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Angle Relationships 2 1 3 4

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Angle Relationships 2 1 3 4
What is the value of x?

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Angle Relationships 2 1 3 4
What is the value of x?

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Hmm…. Can you do this?

11. Complementary Angles 11/18
Complementary angles are two angles whose sum is 90. The two angles are called complements.
35o 1
55o 2 A B

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Complementary Angles

13. Supplementary Angles 2 1 13/18
Supplementary angles are two angles whose sum is These angles are called supplements. 2 1
130o o
X Y

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A Good Question…..
Are all linear pairs supplementary angles?

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A Good Question…..
Are all supplementary angles linear pairs?

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More Questions
Given that angle G is a supplement of angle H and the measure of angle G is 82°, find the measure of angle H.

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More Questions
A &  B are supplementary. m  A is 5 times m  B. Find m  A & m  B.

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Homework 1.6
P , 8 – 31, 34 – 36, 47,
48, 51, 52, 58, 59