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Geometry Notes 2.5—Angle Pair Relationships Objective: Identify and apply vertical angles, linear pairs, complementary angles, and supplementary angles. Assignment: Day 1—pg. 47 # 8-36evens, 46-52evens, 66-74evens Day 2—WS (1.6 Practices B & C) Two angles are vertical angles if their sides form two pairs of opposite rays. Two adjacent angles are a linear pair if their noncommon sides are opposite rays. 1 and 3 are vertical angles. 2 and 4 are vertical angles. 1 4 2 3 5 6 5 and 6 are a linear pair. Two angles are complementary angles if the sum of their measures is 90°. Two angles are supplementary angles if the sum of their measure is 180°. Each angle is the complement of the other. Each angle is the supplement of the other. Complementary angles and supplementary angles can be adjacent or nonadjacent. Examples: Use the figure to answer the questions. Examples: Use the figure to complete the statements. 3. If m 1 = 105°, the m 3 = . 4. If m 1 = 105°, the m 4 = . 5. If m 2 = 67°, the m 3 = . 6. If m 4 = 112°, the m 2 = . 7. If m 3 = 50°, the m 4 = . 1 4 2 3 Solve for the variables. 10. A and B are complementary. Find m A and m B. m A = 8x – 7 m B = x – 11 11. A and B are supplementary. Find m A and m B. m A = 12x + 1 m B = x + 10