Pre-Calculus Homework Solutions 88

Pre-Calculus - 51 A 57 B E F 52 53 54 55 56 57 C D(3x Angles of Triangles 4-2 p q Pages 188189 Check for Understanding 1 Sample answer 2 and 3 are

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51. Explore: From the figure, you know that m / ABC 5 57 and m / DEF 5 3 x 2 9. Plan: For line p to be parallel to line q , corresponding angles must be congruent, so / ABC > / AED .Since / AED is supplementary to / DEF , because they are a linear pair, it must be true that p i q if / ABC is supplementary to / DEF , or m / ABC 1 m / DEF 5 180. Substitute the given angle measures into this equation and solve for x . Solve: m / ABC 1 m / DEF 5 ¬ 180 57 1 3 x 2 9 5 ¬ 180 3 x 5 ¬ 132 x 5 ¬ 44 Examine: Verify the measure of / DEF by using the value of x .That is, 3 x 2 9 5 3(44) 2 9 or 123, and 57 1 123 5 180. Since m / ABC 1 m / DEF 5 180, m / ABC is supplementary to / DEF , and p i q . 52. 1. Given 2. Subtraction Property 3. Addition Property 4. Division Property 53. any three: / 2 and / 11, / 3 and / 6, / 4 and / 7, / 3 and / 12, / 7 and / 10, / 8 and / 11 54. / 1 and / 4, / 1 and / 10, / 5 and / 2, / 5 and / 8, / 9 and / 6, / 9 and / 12 55. / 6, / 9, and / 12 by alternate interior
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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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