Warm Up

Name an example of:Obtuse, acute, straight, & adjacent ∠’s(Be sure to use 3 letters when naming the ∠)

B

HT

A

M

Angle Pair Angle Pair RelationshipsRelationships

Supplementary AnglesSupplementary AnglesComplementary AnglesComplementary Angles

Two angles that sum to 90° are called complementary angles.

Two angles that sum to 180° are called supplementary angles.

33°57°

64° 116°

Ex. 1

Ex. 2

Tear out pages 347 – 350

1)

Warm UpWarm UpFind the measure of Find the measure of ∠a∠a1)1) 2)2) 3)3)

a a a132°71°

Angle Pair RelationshipsAngle Pair Relationships

Adjacent AnglesAdjacent Angles

Vertical AnglesVertical Angles

Linear PairLinear Pair

Two angles are adjacent if they share a common vertex and side.

∠CAY is adjacent to∠YAB

Vertical angles are formed by 2 intersecting lines. They are located opposite of each other.

12

34

1 and 3 are vertical angles2 and 4 are vertical angles

Theorem: All vertical angles are congruent.

1 21

2

Two adjacent angles that form a straight line are called a linear pair.

1 and 2 are a linear pair of angles.

1 2

What measure does a linear pair always have to add up to?

Ex. 1

1) Find the measure of all missing angles.

72◦

2) Find the measure of all missing angles.

62°

41°

(3x – 12)

84

1) Find the value of x.

(4x + 5)

x

2) Find the value of x.

3) Find the value of x.

(6x)

4) Find the value of x.

(4x – 53 )

(2x + 27)