Pre-Calculus Homework Solutions 68

Pre-Calculus Homework Solutions 68 - Solve: m ABC m ECD 4...

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Solve: m / ABC 5 ¬ m / ECD 4 2 5 x 5 ¬ 7 x 1 100 4 5 ¬ 12 x 1 100 2 96 5 ¬ 12 x 2 8 5 ¬ x Examine: Verify the angle measures by using the value of x to find m / ABC and m / ECD . m / ABC 5 ¬ 4 2 5 x 5 ¬ 4 2 5( 2 8) or 44 m / ECD 5 ¬ 7 x 1 100 5 ¬ 7( 2 8) 1 100 or 44 Since m / ABC 5 m / ECD , / ABC > / ECD and , i m. 30. Explore: From the figure, you know that m / ABC 5 14 x 1 9 and m / DEF 5 5 x 1 90. You also know that / ABC and / DEF are alternate exterior angles. Plan: For line , to be parallel to line m ,the alternate exterior angles must be congruent. So, m / ABC 5 m / DEF . Substitute the given angle measures into this equation and solve for x. Solve: m / ABC 5 ¬ m / DEF 14 x 1 9 5 ¬ 5 x 1 90 9 x 1 9 5 ¬ 90 9 x 5 ¬ 81 x 5 ¬ 9 Examine: Verify the angle measures by using the value of x to find m / ABC and m / DEF . m / ABC 5 ¬ 14 x 1 9 5 ¬ 14(9) 1 9 or 135 m / DEF 5 ¬ 5 x 1 90 5 ¬ 5(9) 1 90 or 135 Since m / ABC 5 m / DEF , / ABC > / DEF and , i m . 31. Explore: From the figure, you know that m / ABC 5 178 2 3 x and m / DEF 5 7 x 2 38. You also know that / ABC and / DEF are alternate exterior angles.
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