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Complementary Angles and Supplementary Angles

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Complementary Angles

and

Supplementary Angles

M.G. 2.1 Identify angles as adjacent, vertical, complementary and supplementary.

Objective-- Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

Quick Check!

- On your whiteboards, show me what a pair of complementary
- angles look like and how many degrees they measure.

2) Now, show me on your whiteboards, what a pair of

Supplementary angles look like and how many degrees they measure.

40º

120º

60º

140º

Adjacent and Supplementary Angles

Supplementary Anglesbut not Adjacent

30º

40º

50º

60º

Adjacent and Complementary Angles

Complementary Anglesbut not Adjacent

Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

Supplementary Angles

Remember: Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other.

1

2

These are supplements of each other because their angles add up to 180.

3 STEPS for Finding Missing Angles:

- First, create an addition equation by adding both angles.
- The sum of the two angles will equal
- 90° for Complementary Angles and
- 180° for Supplementary Angles.
- 3) Solve the equation using the inverse rules!

Think…Pair… Share…

How are angles part of our outside world?

If there were no angles, how do you think our world would

be different?

What other subjects can you make connections with that also use

Angles?

Example 1 Find the value of x by making an equation.

Example 2 Find the value of x by writing your equation.

Complementary Angles

Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other.

1

2

These are complements of each other because their angles add up to be 90.

Example 3 Find the value of x.

Now, think of what we talked about today.

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

FOLDABLE ON ANGLES:

Examples

Examples

Measures less than

90 degrees

Measures exactly

90 degrees

Examples

Examples

Measures exactly

180 degrees

Measures more than 90 degrees and less than 180 degrees.

Examples

Vertical Angles are the angles opposite each other when two lines cross

Two angles that share a same side and same vertex

Examples

Examples

Two angles whose sum is equal to

90 degrees

Two angles whose sum is equal to 180

Degrees.

Example 4 Find the value of x.

Example 5 Find the value of x.

Think back to last class…

1

5

2

4

3

no

Are angles 1 and 2 a linear pair?

no

Are angles 1 and 3 adjacent angles?

yes

Are angles 3 and 4 a linear pair?

Are angles 2 and 3 adjacent angles?

yes

Let's practice.

Exit Slip!

Remember…Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

Figure 1find the missing angles you may use a protractor to draw it!

T

X

Q

R

V

S

Z

Y

S

Figure 2: find the missing angles you may use a protractor to draw it!

E

A

B

w

z

x

y

G

C

F

D

Figure 3

P

N

Q

X - 25°

R

M

P- 45°

L