Download Students will recognize complementary and supplementary angles

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.
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Opener:
Given:
1 Find:
Answer
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
, what do we know about
If
problems involving
?
C
2 So what do we know about
2
O
W
1
and
A
They are congruent
B
They add up to
C
They add up to
?
D
B
Answer
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
C
2
W
problems involving
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
O
Definition: Complementary Angles
If two angles have a sum of 90,
then they are Complementary angles.
Note: Each angle
is called the
Complement of
the other.
If two angles are Complementary,
then they have a sum of 90.
3
What is the complement of a 34 degree angle?
90-34=56
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Complementary and Supplementary Examples
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
4
So what do we know about
and
problems involving
?
A
They are both right angles
B
They add up to 180
C
They are congruent
D
All of these
B
Answer
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
1
2
problems involving
We also deal with pairs of angles which add up to
180.
We have a special name for such pairs of angles.
Definition: Supplementary Angles
If two angles have a sum of 180,
then they are Supplementary angles.
Note: Each angle
is called the
Supplement of
the other.
If two angles are Supplementary,
then they have a sum of 180.
5
What is the supplement of a 48 degree angle?
180 - 48 = 132
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Complementary and Supplementary Examples
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
Assignment 2.2 :
Pg. 69
# 7-9, 13-16, 18, 19, 21, 24
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving
Learner Objective: Students will recognize complementary and supplementary angles and will solve
complementary and supplementary angles.
problems involving