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The measure of each angle of regular polygon is `108^@`. Find perimeter of that polygon if each side measures 7 cm. |
Answer» Sum of interior angles of a `n`-sided polygon is `(n-2)**180`. Here, interior angle is `108^@`. `:. 108n = (n-2)**180` `=>108n = 180n-360` `=>72n = 360` `=> n = 5` So, given polygon has `5` sides. Side of the polygon ` = 7cm`. `:.` Perimeter of the polygon `= 5**7 = 35cm`. |
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