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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)