Pre-Calculus Homework Solutions 13

# Pre-Calculus Homework Solutions 13 - Solve x 22 23 24 25 26...

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15 Chapter 1 Solve: x 1 12 5 ¬ 180 2 x x 5 ¬ 168 2 x 2 x 5 ¬ 168 x 5 ¬ 84 180 2 x 5 180 2 84 or 96 The measures of the angle and its supplement are 84 and 96. Examine: 96 5 84 1 12 22. Explore: The problem states that m / 1 is five less than 4 ? m / 2 and / 1 and / 2 form a linear pair. So m / 1 1 m / 2 5 180. Plan: Let m / 1 5 x . Solve: m / 1 1 m / 2 5 ¬ 180 x 1 m / 2 5 ¬ 180 4 ? m / 2 2 5 1 m / 2 5 ¬ 180 5 ? m / 2 5 ¬ 185 m / 2 5 ¬ 37 m / 1 5 4 ? m / 2 2 5 5 4(37) 2 5 5 148 2 5 or 143 Examine: 4(37) 2 5 0 ¬ 143 143 5 ¬ 143 / 1 and / 2 are supplementary because 143 1 37 5 180. 23. Always; the sum of two angles that each measure less than 90° can never equal 180°, so if one angle is acute the other must be obtuse. 24. Always; complementary angles are angles whose measures have a sum of 90°, so each angle must measure less than 90°. 25. Sometimes; for example, consider the following: m / A 5 90 m / B 5 90 m / C 5 90 Then m / A 1 m / B 5 180 and m / B 1 m / C 5 180 and m / A
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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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