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Complementary and Supplementary Angles (4.1)

- Perpendicular lines -

Lines that intersect at 90? angles

C

0

- Complementary Angles -

Angles that add up to 90?

1 0

S

- Supplementary Angles -

Angles that add up to 180?

Example

a) Whats the complement of a 63? angle?

I. 90 63 27?

II. 63 x 90?

- 63

- 63

x 27?

a) Whats the supplement of a 97? angle?

I. 180 97 83?

II. 97 x 180?

- 97

- 97

x 83?

How is a straight angle similar to

supplementary angles?

Example

GIVEN

B

2x 26

42

E

Find the value of x.

2

1

W

42 2x 26 90

( )

2x 68 90

- 68

- 68

2x 22

2

2

x 11

Example

multiplication

addition

The sum of an angle and three times its

complement is 200. Whats the angle?

angle 3( complement ) 200

What is the complement of 20?

a measure of an angle

What is the complement of 40?

What is the complement of 65?

a 3 ( 90 a ) 200

What is the complement of 72?

a 270 3a 200

What is the complement of a?

270 2a 200

- 270

- 270

a 35?

2a -70

-2

-2

Vertical Angles (4.2)

- DEF A pair of angles which are not adjacent

and are formed by 2 intersecting lines

- ?1 ?3 are vertical angles ?2 ?4 are

vertical angles

180 145 35

3

- Vertical angles are ?

180 35 145

180 35 145

2

4

1

35

If m?1 35?, find the rest of the angles using

straight line idea

Example

1

3

2

164?

m?1

m?2

m?3

?

?

?

164?

16?

16?

Example

A

2x 30

GIVEN

C

2

40

3

1

O

Find the value of x.

B

Suggestions?

m?2 m?AOC m?3 180

2x 30

90

40 180

2x 160 180

x 10

- 160

- 160

2x 20

2

2

Homework

p. 200, 3 - 6, 10 - 12, 16-18 p. 208, 4 -

10, 21, 23

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