Section 1.6Pairs 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)

1 2

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Not Adjacent Angles

1

2

1 2

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Vertical (Opposite) Angles

1 3

2

4

Vertical Angles are two angles that share a common vertex & whose sides form two pairs of opposite rays.

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Linear Pair

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

2 1

1 2 180m m

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Discuss Angles

Vertical angles?Adjacent angles?Linear pair?Adjacent angles not a linear pair?

1

2

435

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Angle Relationships

23

41

1 72m 2m 3m

4m

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Angle Relationships

23

41

1 3 4m x 2 2 6m x

What is the value of x?

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Angle Relationships

23

41

What is the value of x?

4 3 26m x 2 7 6m x

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Hmm…. Can you do this?

20y53 x

15x154 y

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Complementary Angles

Complementary angles are two angles whose sum is 90. The two angles are called complements.

12

35o

A

55o

B

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Complementary Angles12/18

Supplementary Angles

Supplementary angles are two angles whose sum is 180. These angles are called supplements.

130o

50oX Y

12

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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 is5 times m B. Find m A & m B.

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Homework 1.6

P. 47 1, 8 – 31, 34 – 36, 47, 48, 51, 52, 58, 59

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