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Inequalities for Sides and Angles of a Triangle Section 5-2 Exterior Angle Inequality Thm. 5.8 If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles. m4 m1 2 1 3 4 m4 m2 Theorem 5-9 If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. 100 4 30 9 Theorem 5-10 If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. Joke time What do you get when you add 50 female pigs and 50 male deer? $100,000 (100 sows ‘an bucks)

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