1. Measuring and Classifying Angles
COURSE 2 LESSON 7-2
The measure of Q is 49°. Find the measure of its complement.
Let x = the measure of the complement of Q.
x + m Q = 90°
The angles are complementary.
x + 49° = 90°
Substitute 49° for m Q.
x + 49° – 49° = 90° – 49°
Subtract 49° from each side.
x = 41°
Simplify.
The measure of the complement of Q is 41°.
7-2

2. Measuring and Classifying Angles
COURSE 2 LESSON 7-2
Find the measures of 1, 2, and 4, if m 3 = 32°.
m ° – 32° = 180° – 32°
m 2 = 148°
m ° = 180°
2 and 3 are supplementary.
m 1 = 32°
1 and 3 are vertical angles.
m 4 = 148°
2 and 4 are vertical angles.
7-2

3. Measuring and Classifying Angles
COURSE 2 LESSON 7-2
Use the diagram for questions 1–3.
1. Find the measures of 2 and 3.
2. Name a pair of adjacent,
complementary angles.
3. Name a pair of supplementary angles.
m 2 = 40º; m 3 = 90º
1 and 2
3 and 4 or 4 and 5
7-2