ANGLES RELATIONSHIPS Unit 7 Math 7 ANGLE RELATIONSHIPS

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 = 135 o Angles 1 and 4 are supplementary ________ angles. If they are supplementary angles, they must add up to 180 degrees. Angle 1 measures 45 degrees.

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

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

ANGLE RELATIONSHIPS Example 2 continued: Find the measure of angles 2, 3, and 4 if measure of 1 = 43 o Angles 1 and 4 are supplementary ________ 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? angle

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 – 34 degrees