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FoG 3.4 adjacent angles and linear pairs

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Page 1: FoG 3.4 adjacent angles and linear pairs

Adjacent Angles & Linear Pairs

Page 2: FoG 3.4 adjacent angles and linear pairs

Adjacent Angles

• Share a common side

• Share the same vertex

• Do not share any interior points

A

B

C

V

<AVB and <BVC are adjacent

Page 3: FoG 3.4 adjacent angles and linear pairs

Linear Pair

A linear pair consists of two adjacent angles whose noncommon sides are opposite rays.

Linear Pair Postulate: If two angles form a linear pair, then they are supplementary.

A V C

B

Page 4: FoG 3.4 adjacent angles and linear pairs

Vertical Angles

Vertical angles are two nonadjacent angles formed by two intersecting lines.

Angles <1 and <2 are vertical angles

1 2

Page 5: FoG 3.4 adjacent angles and linear pairs

Practice

• Textbook p113: 8-27