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Pre-Calculus Homework Solutions 126

Pre-Calculus Homework Solutions 126 - 9 By the Exterior...

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9. By the Exterior Angle Inequality Theorem, m 7 m 2 m 3 and m 7 m 5 m 6, so m 7 m 2, m 7 m 3, m 7 m 5, and m 7 m 6. Thus, the measures of 2, 3, 5, and 6 are less than m 7. 10. The side opposite WXY is longer than the side opposite XYW , so m WXY m XYW . 11. The side opposite XZY is shorter than the side opposite XYZ , so m XZY m XYZ . 12. The side opposite WYX is shorter than the side opposite XWY , so m WYX m XWY . 13. AE is opposite a 30° angle, and EB is opposite a 110° angle. 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, so AE EB . 14. CE is opposite CDE , and m CDE 180 (50 55) or 75. CD is opposite a 55° angle. 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, so CE CD . 15. BC is opposite BEC , and m BEC 180 (40 100) or 40. EC is opposite a 40° angle. Thus, BC EC .
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