1. Advanced Geometry
Section 2.2 Complementary and Supplementary Angles
Learner Objective: Students will recognize complementary and 
 supplementary angles and will solve problems involving 
 complementary and supplementary angles.

2. 1 Opener: Given: Find: Answer
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
Opener:
Given: 1
Find:
Answer

3. 2 A B C D , what do we know about ? So what do we know about and ?
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles. If
, what do we know about ? 1 2 C O W 2
So what do we know about and ? A
They are congruent B
They add up to C
They add up to D B
Answer

4. 90-34=56 3 What is the complement of a 34 degree angle?
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
We often deal with pairs of angles 
which add up to 90.
In fact, we even have a special name 
for such pairs of angles. 1 2 C O W
Definition: Complementary Angles
If two angles have a sum of 90,
 then they are Complementary angles.
If two angles are Complementary,
 then they have a sum of 90.
Note: Each angle
is called the
Complement of
the other. 3
What is the complement of a 34 degree angle?
90-34=56

5. Complementary and Supplementary Examples
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
Complementary and Supplementary Examples

6. 4 A B C D They are both right angles They add up to 180
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles. 4
So what do we know about and ? A
They are both right angles B
They add up to 180 C
They are congruent D
All of these B
Answer

7. 180 - 48 = 132 5 What is the supplement of a 48 degree angle?
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
We also deal with pairs of angles 
which add up to 180.
We have a special name for such 
pairs of angles. 2 1
Definition: Supplementary Angles
If two angles have a sum of 180,
 then they are Supplementary angles.
If two angles are Supplementary,
 then they have a sum of 180.
Note: Each angle
is called the
Supplement of
the other. 5
What is the supplement of a 48 degree angle?
= 132

8. Complementary and Supplementary Examples
Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
Complementary and Supplementary Examples

9. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

10. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

11. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

12. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

13. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.
Assignment 2.2 :
Pg. 69
# 7-9, 13-16, 18, 19, 21, 24

14. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

15. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.

16. Learner Objective: Students will recognize complementary and supplementary angles and will solve 
 problems involving complementary and supplementary angles.