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Geometry Section: 2.3 Complementary and Supplementary Angles Algebra Problem of the Day: Solve. 1 (x 4) = (2x 1) 3 Sep 99:50 PM Today's Essential Question: How are angles related? Opener: Identify Complementary and Supplementary Angles Sep 99:54 PM 1 Complementary Angles 40 50 2 angles whose SUM is 90 __ + __ = 90 Sep 99:55 PM Supplementary Angles 80 100 2 angles whose SUM is 180 60 120 __ + __ = 180 Sep 99:58 PM 2 Number your paper 15 (under opener) and complete the checkpoint exercises on p. 67 and 68 of your text. Sep 910:02 PM Concept 1: Adjacent Angles Adjacent Angles 1 2 2 angles are adjacent if they share a common vertex and side. <1 and <2 are adjacent angles. Sep 910:05 PM 3 Sep 910:07 PM Concept 2: Theorems Theorems True statements that follow from other true statements. Sep 910:08 PM 4 Congruent Complements Theorem Sep 910:09 PM Congruent Supplements Theorem Sep 910:11 PM 5 Ex. 1: Checkpoint exercise 6 on p. 69 Sep 910:13 PM Closure: Let's practice some MAPlike questions! 1. 2. Sep 910:14 PM 6 3. When two angles are added and their sum is equal to 180 degrees, the angles are said to be supplementary angles. Given: One of two supplementary angles is 4o more than onethird the measure of the other angle. 1. Write an equation that represents the given information. 2. Find the measure of each of the angles, showing all work. Sep 910:16 PM Learning Opportunity p. 7073 #131 odd, 3537, 4153 odd Sep 910:18 PM 7