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DorelTibi
 2 years ago
A school is designed so that 5 hallways meet at the library in the shape of a regular pentagon. Find the measure of one of the interior angles of the pentagon.
DorelTibi
 2 years ago
A school is designed so that 5 hallways meet at the library in the shape of a regular pentagon. Find the measure of one of the interior angles of the pentagon.

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mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1356935867603:dw

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2In this case, n = 5 = number of sides

DorelTibi
 2 years ago
Best ResponseYou've already chosen the best response.0wait how would u show ur work

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2All you need to do is show two things. In a regular polygon, all angles are congruent. That means all their measures are the same. Also, in any polygon, the sum of the measures of the interior angles of a polygon is (n  2)180, where n = number of sides. Since a pentagon has 5 sides, the sum of measures of the interior angles is (5  2)180 = 3(180) = 540 Since all angles are congruent, each angle is 540/5
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