Warm UpSolve.

1. 8 8 6 20x x

22. 2 8

3x

3. 11 21 17 8x x

x = 14

x = 9

x = 2

Symbols to KnowSymbols 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

Name the ways can you name 3?

MA

TH

34

Name the ways can you name 4?

Name the ways can you name MHT?

Name the angle 4 ways.Name the angle 4 ways.

How do you name each red side?

AM

TH

N

U

F

M

E

IL

Y

R

S

T

P

RSPmTSPmRSTm

Why can’t you name any of the

angles S?

R

S

T

P

1

Find if m m RSP 1 78.

48

m 1 78 + 48 =

m 1 = 30

Example 1

Linear Pair and

Vertical Angles

Two angles are adjacent if they share a common vertex and side, but have no common interior points. SIDE BY SIDE…shoulder to shoulder.

YES

NO

Linear Pair

118

Two angles that are side-by-side and create a straight line (add up

to 180).

62xSolve for x.

Equation:

____ + ____ = 180

Equation:

____ + ____ = 180

Vertical Angles

76

Their sides form two pairs of opposite rays (and the angles are

equal to each other).

76x

Solve for x.

Equation:

______ = ______

Equation:

______ = ______

Vertical Angles: Their sides form two pairs of opposite rays (and the angles are equal to each other).

50

Solve for x.

100°

2x

Vertical Angles: Their sides form two pairs of opposite rays (and the angles are equal to each other).

96

Solve for x.

13_ x

32°

Vertical Angles: Their sides form two pairs of opposite rays (and the angles are equal to each other).

100

Solve for x.

40°

2

5x

Vertical Angles: Their sides form two pairs of opposite rays (and the angles are equal to each other).

5

Solve for x.

(3x + 23)°

(4x + 18)°

Supplementary Angles

98

Two angles add up to 180.

82

x

Solve for x if the following 2 angles are supplementary.

Equation:

____ + ____ = 180

Equation:

____ + ____ = 180

Supplementary Angles: Two angles add up to 180.

23

Solve for x.

(3x + 1)° (5x - 5)°

Supplementary Angles: Two angles add up to 180.

133

13 and 14 are supplementary angles

m13 = 47. Find m14.

Complementary Angles

14

Two angles add up to 90.

76

x

Solve for x if the following 2 angles are complementary.

Equation:

____ + ____ = 90

Equation:

____ + ____ = 90

Complementary Angles: Two angles add up to 90.

18

Solve for x.

x + 13

2x + 23

12

3

5

Are angles 4 and 5 supplementary angles?

Are angles 2 and 3 complementary angles?

Are angles 2 and 1 complementary angles?

Are angles 4 and 3 supplementary angles?

no

no

yes

yes

Review

4