Warm UpSolve.

1. 8 8 6 20x x

22. 2 8

3x

3. 11 21 17 8x x

x = 14

x = 9

x = 2

Lesson 3.1• Symbols• Naming an Angle & Segment• Vertical Angles• Linear Pair• Complementary Angles• Supplementary Angles• Angle Bisectors

Symbols to Know

Angle

Degree

Right Angle

Perpendicular

Segment AB AB

Ray CD

Line EF

Measure

CD

EF

m

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Name this angle 4 different ways.

A

T

C

2

CATTACA2

Name the ways can you name 3?

MA

TH

34

Name the ways can you name 4?

Name the ways can you name MHT?

MHA and AHM

AHT and THA

THM

Name the angle 4 ways.

LMNNML

M7

How do you name the red side?

AM

TH

MA

AM

Linear Pair

118

Two angles that are side-by-side, share a common vertex,

share a common ray, & create a straight line.

62x

Solve for x.Equation:

____ + ____ = 180

Equation:

____ + ____ = 180

x = 38

x x + 104

Solve for x.

104 180x x

Supplementary Angles

98

Two angles that add up to 180.

82

x

Solve for x if the following 2 angles are supplementary.

Equation:

____ + ____ = 180

Equation:

____ + ____ = 180

x = 23

Solve for x.

(3x + 1)° (5x - 5)°

3 1 5 5 180x x

x = 133

13 and 14 are supplementary angles

m13 = 47. Find m14.

47 180x

x = 67

One of two supplementary angles is 46 degrees more than its supplement. Find the measure of both angles.

x1st Angle:

2nd Angle: 46x

46 180xx

One angle is 67 and the other is 113.

Complementary Angles

14

Two angles that add up to 90.

76

x

Solve for x if the following 2 angles are complementary.

Equation:

____ + ____ = 90

Equation:

____ + ____ = 90

x = 18

Solve for x.

x + 13

2x + 23

2 23 13 90x x

x = 53

One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles.

x1st Angle:

2nd Angle: 16x

1 06 9xx

One angle is 53 and the other is 37.

Vertical Angles

76

Two angles that share a common vertex and their sides form two pairs of

opposite rays.

76x

Solve for x.Equation:

______ = ______

Equation:

______ = ______

x = 100

Solve for x.

40°

2

5x

240

5x

x = 5

Solve for x.

(3x + 23)°

(4x + 18)°3 23 4 18x x

Angle Bisector

x = 8

Cuts an angle in to TWO congruent angles

5x + 16

2x + 40

Solve for x.

Textbookp. 20 #41 – 43p. 63 #20 – 22, 30p. 72 #15 & 16