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Lesson 1-5: Pairs of Angles Lesson 1-5: Pairs of Angles

Lesson 1-5: Pairs of Angles - PowerPoint Presentation

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Uploaded On 2022-02-12

Lesson 1-5: Pairs of Angles - PPT Presentation

1 Warm UP If m 1 23 º and m 2 32 º find the measures of all other angles Answers Adjacent Vertical Supplementary and Complementary Angles Adjacent angles are side by side and share a common ray ID: 908236

missing angles adjacent angle angles missing angle adjacent vertical solve supplementary complementary find equal 105 140 terms 75º relationship

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Slide1

Lesson 1-5: Pairs of Angles

1

Warm UP: If m1 = 23 º and m2 = 32 º, find the measures of all other angles.

Answers:

Slide2

Adjacent,

Vertical,

Supplementary, and Complementary Angles

Slide3

Adjacent angles are “side by side” and share a common ray.

45

º

15

º

Slide4

These are examples of adjacent angles.

55

º

35

º

50

º

130

º

80

º

45

º

85

º

20

º

Slide5

These angles are NOT adjacent.

45

º

55

º

50

º

100

º

35

º

35

º

Slide6

When 2 lines intersect, they make vertical angles.

75

º

75º

105º

105º

Slide7

Vertical angles are opposite one another.

75

º

75

º

105

º

105

º

Slide8

Vertical angles are opposite one another.

75

º

75

º

105

º

105

º

Slide9

Vertical angles are congruent (equal).

30

º

150º

150

º30º

Slide10

Supplementary angles add up to 180

º.

60º

120º

40

º

140

º

Adjacent and Supplementary Angles

Supplementary Angles

but not Adjacent

Slide11

Complementary angles add up to 90

º.

60º30º

40

º

50

º

Adjacent and Complementary Angles

Complementary Angles

but not Adjacent

Slide12

Practice Time!

Slide13

Directions:

Identify each pair of angles as vertical, supplementary, complementary,

or none of the above.

Slide14

#1

60

º

120º

Slide15

#1

60

º

120º

Supplementary Angles

Slide16

#2

60

º

30

º

Slide17

#2

60

º

30

º

Complementary Angles

Slide18

#3

75

º

75º

Slide19

#3

75

º

75º

Vertical Angles

Slide20

#4

60

º

40

º

Slide21

#4

60

º

40

º

None of the above

Slide22

#5

60

º

60º

Slide23

#5

60

º

60º

Vertical Angles

Slide24

#6

45

º

135º

Slide25

#6

45

º

135º

Supplementary Angles

Slide26

#7

65

º

25º

Slide27

#7

65

º

25º

Complementary Angles

Slide28

#8

50

º

90º

Slide29

#8

50

º

90º

None of the above

Slide30

Directions:

Determine the missing angle.

Slide31

#1

45

º

Slide32

#1

45

º

135º

Slide33

#2

65

º

?

º

Slide34

#2

65

º

25

º

Slide35

#3

35

º

Slide36

#3

35

º

35º

Slide37

#4

50

º

Slide38

#4

50

º

130º

Slide39

#5

140

º

?

º

Slide40

#5

140

º

140

º

Slide41

#6

40

º

Slide42

#6

40

º

50º

Slide43

Sometimes the lines between Geometry and Algebra blur just a bit. For example, sometimes the missing angle is not just a letter but a problem to be solved. Let’s take a look.

We know that the two angles are supplementary…but how do we solve for X.

When we solve these types of problems we are going to have TWO ANSWERS…what does X equal and what is the measure of the missing angle.

FINDING THE MISSING ANGLE…WITH X.

Slide44

3) Solve for x.

3x°

2x°

FIND THE MISSING ANGLE AND X

What is the relationship? What do the two terms need to equal?

Slide45

7) Solve for x.

4x°

5x°

What is the relationship? What do the two terms need to equal?

FIND THE MISSING ANGLE AND X

Slide46

8) Solve for x.

2x + 10

3x + 20

(2x + 10) + (3x + 20) = 180 Combine Like Terms

5x + 30 = 180 Solve for X

5x = 150

x = 30

FIND THE MISSING ANGLE AND X

X = 30

3(30) + 20 = 110°

X = 30

2(30) + 10 = 70°

Slide47

4) Solve for x.

2x + 5

x + 25

FIND THE MISSING ANGLE AND X

What is the relationship? What do the two terms need to equal?

Slide48

FIND THE MISSING ANGLE AND X