1. 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.

2. 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.

3. Supplementary angles add up to 180º.
40º
120º
60º
140º
Adjacent and Supplementary Angles
Supplementary Angles but not Adjacent

4. Complementary angles add up to 90º.
30º
40º
50º
60º
Adjacent and Complementary Angles
Complementary Angles but not Adjacent

5. Remember our 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.

6. 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.

7. 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!

8. 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?

9. Example 1 Find the value of x by making an equation.
This is on p. 16 of the Study Guide problem #2.

10. Example 2 Find the value of x by writing your equation.
This is on p. 16 of the Study Guide problem #3.

11. 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.

12. Example 3 Find the value of x.
This is on p. 16 of the Study Guide problem #1.

13. 1 5 2 4 3 Now, think of what we talked about today. 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

14. 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.

15. Example 4 Find the value of x.
This is on p. 16 of the Study Guide problem #6.

17. Example 5 Find the value of x.
This is on p. 16 of the Study Guide problem #3.

18. 1 5 2 4 3 Think back to last class… 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

19. 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.

20. Figure 1find the missing angles you may use a protractor to draw it!X Q R V S Z Y
This is the 2nd figure in the practice workbook p.16 S

21. Figure 2: find the missing angles you may use a protractor to draw it!B w z x y G C
This is the 1st figure in the practice workbook p.16 F D

22. Figure 3 P N Q
X - 25° R M
P- 45°
This is the 3rd figure in the practice workbook p.16 L