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1.5 Notes Geometry Angle Pair Relationships Complementary Angles: Two angles that add up to 90 . Supplementary Angles: Two angles that add up to 180 4 1 3 2 5 7 6 Adjacent Angles: Two angles that share a common vertex and side, but have no common interior points. (Angles that are next to each other.) Example 1: Name a pair of complementary angles supplementary angles adjacent angles Example 2: Given that 1 is a complement of 2, and m 1 = 35o, find the m 2. Example 3: Given that 1 is a complement of 2, and m 1= 73o, find the m 2. Example 4: Given that 3 is a supplement of 4, and m 4 = 37o, find the m 3. Example 5: LMN and PQR are complementary angles. Find the measure of the angles if m LMN = (4x – 2)o and m PQR = (9x + 1)o. 8 Linear Pair: Two adjacent angles that form a line. Vertical Angles: Angles that are across from each other (formed by two lines) 3 4 6 1 5 2 **These angles are also supplementary. Example 6: Identify all of the linear pairs vertical angles Example 7: Two angles form a linear pair. The measure of one angle is five times the measure of the other. Find the measure of each angle. Example 8: Two angles form a linear pair. The measure of one angle is three times the measure of the other. Find the measure of each angle. Example 9: Find the values of x and y. m WYZ. 4x 3x 159 3 y Example 10: Find m XYW and W 2x 14 X 4x 20 Y Z