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Warm Up. x = 14. Solve. x = 9. x = 2. Symbols to Know. Name this angle 4 different ways. . C. A. 2. . T. . Name the ways can you name 3?. Name the ways can you name 4?. Name the ways can you name MHT?. M. . A. . 3. . . 4. T. H. Name the angle 4 ways.

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Warm Up

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Warm up

Warm Up

x = 14

Solve.

x = 9

x = 2


Symbols to know

Symbols to Know


Name this angle 4 different ways

Name this angle 4 different ways.

C

A

2

T


Name the ways can you name 3

Name the ways can you name 3?

Name the ways can you name 4?

Name the ways can you name MHT?

M

A

3

4

T

H


Name the angle 4 ways

Name the angle 4 ways.


How do you name each red side

How do you name each red side?

M

A

E

U

M

T

H

Y

F

L

I

N


Warm up

Angle Addition Postulate

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

T

R

S

P


Warm up

Example 1

R

T

1

P

S


Linear pair and vertical angles

Linear Pair and Vertical Angles


Warm up

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


Two angles that are side by side and create a straight line add up to 180

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


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

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).


Warm up

Solve for x.

50

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


Warm up

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).


Warm up

Solve for x.

40°

100

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


Warm up

Solve for x.

(3x + 23)°

(4x + 18)°

5

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


Two angles add up to 180

Supplementary Angles

Solve for x if the following 2 angles are supplementary.

x

82

Equation:

____ + ____ = 180

98

Two angles add up to 180.


Warm up

Solve for x.

23

Supplementary Angles: Two angles add up to 180.


Warm up

13 and 14 are supplementary angles

m13 = 47. Find m14.

133

Supplementary Angles: Two angles add up to 180.


Two angles add up to 90

Complementary Angles

Solve for x if the following 2 angles are complementary.

x

76

Equation:

____ + ____ = 90

14

Two angles add up to 90.


Warm up

Solve for x.

2x + 23

x + 13

18

Complementary Angles: Two angles add up to 90.


Warm up

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


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