A regular polygon has an interior angle of 108, How many sides does it have?

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Qnaa2222

Mathematics

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A regular polygon has an interior angle of 108, How many sides does it have?

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Explanation & Answer

the formula for the interior angle in the polygon is as follows, where n- is a number of sides in a regular polygon:

(n-2) *180  /  n = 108,   now let's find n from this equation

180n - 360 = 108n

72n = 360

n = 5 sides



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