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1.6 Angle Pair Relationships HMWK: pp. 48 – 49, #s 20-36, 45-55 Game Plan: Today I will be able to identify … • Vertical angles and linear pairs • Complementary & supplementary angles Warm-up: Draw the following figures. 1. Two intersecting lines AB and CD, intersecting at E. 2. A right angle JKL, with ray KM in the interior. 3. Line FG and ray HI, so that H in on line FG. 1.6 Angle Pair Relationships Quiz 1.1 – 1.5 Please clear your desks, excepts • • • • • Pencil Formula sheet Compass Straight edge Calculator When you are finished, either read or turn your quiz over and draw me a picture! 1.6 Angle Pair Relationships Vertical Angles Vertical Angles: Two angles are vertical if sides form two pairs of opposite rays. 2 1 4 3 * Vertical angles are congruent. Name two pairs of vertical angles. 1.6 Angle Pair Relationships Linear Pairs Linear Pair: Two angles that are adjacent & the noncommon sides are opposite rays. 2 1 * Sum of the angles formed by a linear pair is 180° 1.6 Angle Pair Relationships Complementary Angles Sketchpad • Two angles whose sum measures 90° • Each angle is the complement of the other • Adjacent or nonadjacent 47° 43° 43° 47° Complementary adjacent Complementary nonadjacent 1.6 Angle Pair Relationships Supplementary Angles Sketchpad • Two angles whose sum measures 180° • Each angle is the supplement of the other • Adjacent or nonadjacent 47° 133° 47° Supplementary adjacent 133° Supplementary nonadjacent 1.6 Angle Pair Relationships Wrap Up Tell your neighbor two things you learned today.