Pre-Calculus Homework Solutions 237

Pre-Calculus Homework Solutions 237 - 4. Use the Interior...

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239 Chapter 8 4. Use the Interior Angle Sum Theorem. S 5 180( n 2 2) 5 180(5 2 2) 5 540 The sum of the measures of the interior angles of a pentagon is 540. 5. Use the Interior Angle Sum Theorem. S 5 180( n 2 2) 5 180(12 2 2) 5 1800 The sum of the measures of the interior angles of a dodecagon is 1800. 6. Use the Interior Angle Sum Theorem to write an equation to solve for n ,the number of sides. S 5 ¬ 180( n 2 2) (60) n 5 ¬ 180( n 2 2) 60 n 5 ¬ 180 n 2 360 0 5 ¬ 120 n 2 360 360 5 ¬ 120 n 3 5 ¬ n The polygon has 3 sides. 7. Use the Interior Angle Sum Theorem to write an equation to solve for n ,the number of sides. S 5 ¬ 180( n 2 2) (90) n 5 ¬ 180( n 2 2) 90 n 5 ¬ 180 n 2 360 0 5 ¬ 90 n 2 360 360 5 ¬ 90 n 4 5 ¬ n The polygon has 4 sides. 8. Since n 5 4, the sum of the measures of the interior angles is 180(4 2 2) or 360. Write an equation to express the sum of the measures of the interior angles of the polygon. 360
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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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