Pre-Calculus Homework Solutions 126

Pre-Calculus - 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

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9. By the Exterior Angle Inequality Theorem, m / 7 . m / 2 1 m / 3 and m / 7 . m / 5 1 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. A w E w is opposite a 30° angle, and E w B w 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. C w E w is opposite / CDE , and m / CDE 5 180 2 (50 1 55) or 75. C w D w 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.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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