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Warm Up

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x = 14

Solve.

x = 9

x = 2

C

A

2

T

Name the ways can you name 4?

Name the ways can you name MHT?

M

A

3

4

T

H

M

A

E

U

M

T

H

Y

F

L

I

N

Angle Addition Postulate

Why can’t you name any of the angles S?

T

R

S

P

Example 1

R

T

1

P

S

Adjacent 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.

NO

YES

Linear Pair

Solve for x.

x

62

Equation:

____ + ____ = 180

Two angles that are side-by-side and create a straight line (add up to 180).

118

Vertical Angles

Solve for x.

x

76

Equation:

______ = ______

76

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

Solve for x.

50

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

Solve for x.

32°

1

_

x

3

96

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

Solve for x.

40°

100

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

Solve for x.

(3x + 23)°

(4x + 18)°

5

Supplementary Angles

Solve for x if the following 2 angles are supplementary.

x

82

Equation:

____ + ____ = 180

98

Two angles add up to 180.

Solve for x.

23

Supplementary Angles: Two angles add up to 180.

13 and 14 are supplementary angles

m13 = 47. Find m14.

133

Supplementary Angles: Two angles add up to 180.

Complementary Angles

Solve for x if the following 2 angles are complementary.

x

76

Equation:

____ + ____ = 90

14

Two angles add up to 90.

Solve for x.

2x + 23

x + 13

18

Complementary Angles: Two angles add up to 90.

Review

1

5

2

4

3

no

Are angles 4 and 5 supplementary angles?

no

Are angles 2 and 3 complementary angles?

Are angles 4 and 3 supplementary angles?

yes

Are angles 2 and 1 complementary angles?

yes