Pre-Calculus Homework Solutions 238

Pre-Calculus Homework Solutions 238 - 19. Use the Interior...

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19. Use the Interior Angle Sum Theorem. S 5 180( n 2 2) 5 180(8 2 2) 5 1080 The sum of the measures of the interior angles of the octagonal garden is 1080. 20. Use the Interior Angle Sum Theorem. S 5 180( n 2 2) 5 180(6 2 2) 5 720 The sum of the measures of the interior angles of the hexagonal gazebos is 720. 21. Use the Interior Angle Sum Theorem to write an equation to solve for n ,the number of sides. S 5 ¬ 180( n 2 2) (140) n 5 ¬ 180( n 2 2) 140 n 5 ¬ 180 n 2 360 0 5 ¬ 40 n 2 360 360 5 ¬ 40 n 9 5 ¬ n The polygon has 9 sides. 22. Use the Interior Angle Sum Theorem to write an equation to solve for n ,the number of sides. S 5 ¬ 180( n 2 2) (170) n 5 ¬ 180( n 2 2) 170 n 5 ¬ 180 n 2 360 0 5 ¬ 10 n 2 360 360 5 ¬ 10 n 36 5 ¬ n The polygon has 36 sides. 23. Use the Interior Angle Sum Theorem to write an equation to solve for n ,the number of sides. S 5 ¬ 180( n 2 2) (160) n 5 ¬ 180( n 2 2) 160 n 5 ¬ 180 n 2 360 0 5 ¬ 20 n 2 360 360 5 ¬ 20 n 18 5 ¬ n The polygon has 18 sides. 24.
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