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Find the number of sides of a polygon if the sum of the interior angle is 540°

User Wade Tandy
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Answer:

n = number of sides

The measure of each interior angle of a regular polygon is 180(n -2) .

we know that the sum of the interior angles is 540°

to find the number of sides:

540°= 180°(n-2)

540°=180n-360°

540+360 = 180n

900=180n

n = 900/180 = 5

the polygon has 5 sides (pentagon)

User James Monger
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