Question

each interior angle of a regular polygon is 108 degrees. Find the no of sides of the polygon

Answer 1

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Answer 2

Sum of interior angles of a n-sided polygon is ( n - 2 ) x 180

Find n, the number of sides:

Given that 1 interior angle is 108°

108n = 180( n - 2)

108n = 180n - 360

180n - 108n = 360

72n = 360

n = 5 sides

Answer: The polygon has 5 sides.