Lesson 2.2 Complementary and Supplementary Angles Objective: Recognize complementary and...

Lesson 2.2Complementary and Supplementary

Angles

Objective:

Recognize complementary and supplementary angles

Definition: Complementary angles are two angles whose sum is (a right angle)

Each of the two angles is called the complement of the other.

Draw two examples of complementary angles.

Which two angles are complementary?

A

B

C

62

32

28

is complementary to . If how large is ?

Find the complement of a 59° 34’ 13’’ angle.

Definition: Supplementary angles are two angles whose sum is (a straight angle).

Each of the two angles is called the supplement of the other.

Draw two examples of supplementary angles.

What is the supplement of a angle?

Given: Diagram as shownProve: <1 is supp. to <2.

(Hint: This proof takes more than two steps.)

1 2A B C

Given: <TVK is a right angle.Prove: <1 is comp. to <2.

12

T

V K

X

Steps to Solving Word Problems

1. Read the entire problem

2. Draw a picture or diagram

3. Write down the information given4. Determine what information is missing

5. Plan how to solve for the missing information

6. Solve for the missing information

7. Make sure that your answer is appropriate and answers any questions presented

The measure of one of two complementary angles is three greater than twice the measure of the other. Find the measure of each.

The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the complement

Lesson 2.2 Worksheet

Homework

Summary…

Explain how you would find a supplement and a complement.