Angles Relationships Unit 7 Math 7

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

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

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

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

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

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

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

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