Pre-Calculus Homework Solutions 67

Pre-Calculus Homework Solutions 67 - 25. Given: t m Prove:...

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25. Given: , ' t m ' t Prove: , i m Proof: 26. Explore: From the figure, you know that m / ABC 5 9 x 2 4 and m / DEF 5 140. 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 9 x 2 4 5 ¬ 140 9 x 5 ¬ 144 x 5 ¬ 16 Examine: Verify the angle measure by using the value of x to find m / ABC .That is, 9 x 2 4 5 9 (16) 2 4 or 140. Since m / ABC 5 m / DEF , / ABC > / DEF and , i m. 27. Explore: From the figure, you know that m / ABC 5 8 x 1 4 and m / DEF 5 9 x 2 11. You also know that / ABC and / DEF are alternate exterior angles. Plan: For line , to be parallel to line m 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 8 x 1 4 5 ¬ 9 x 2 11 4 5 ¬ x 2 11 15 5 ¬ x Examine: Verify the angle measures by using the value of x to find m / ABC and m / DEF .
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