1. Angles Relationships
Unit 7
Math 7

2. Angle Relationships Important Vocabulary – Adjacent Angles:
two angles that share a vertex and a side but no points in their interiors.
Vertical Angles:
angles formed by two intersecting lines, and are opposite each other. Vertical angles are congruent.
Congruent Angles:
angles that have the same measure

3. Angle Relationships Important Vocabulary – Supplementary Angles:
two angles whose measures add to 180°
Complementary Angles:
two angles whose measures add to 90°

4. Angle Relationships Example 1:
Find the measure of angle 1 if the measure of angle 4 = 135o
Angles 1 and 4 are
_______________ angles.
If they are supplementary
angles, they must add up
to 180 degrees.
Angle 1 measures 45 degrees.
supplementary

5. Angle Relationships Example 2:
Find the measure of angles 2, 3, and 4 if 1 = 43o
Angles 1 and 2 are
_______________ angles.
If they are supplementary
angles, they must add up
to 180 degrees.
Angle 2 measures 137 degrees.
supplementary

6. Angle Relationships Example 2 continued:
Find the measure of angles 2, 3, and 4 if the measure of angle 1 = 43o
Angles 1 and 3 are
_________ angles.
If they are vertical
angles, they must be
congruent.
Angle 3 measures 43 degrees.
vertical

7. Angle Relationships supplementary Example 2 continued:
Find the measure of angles 2, 3, and 4 if measure of angle 1 = 43o
Angles 1 and 4 are
_______________ angles.
If they are supplementary
angles, they must add up
to 180 degrees.
Angle 4 measures 137 degrees.
Is there another way to find the measure of angle 4 without having to set up an equation?
supplementary

8. Angle Relationships Example 3 – Find the measure of each angle
Angle HPM –
108 degrees
Angle JPI –
38 degrees

9. Angle Relationships Example 3 – Find the measure of each angle
Angle IPH –
34 degrees
Angle KPL –