If the sum of the interior angles of a regular polygon is 1620 degrees. How many sides does the polygon have?

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1 answer

The formula for the sum of the interior angles of a regular polygon is (n - 2) * 180, where n is the number of sides.

Therefore, 1620 = (n - 2) * 180

Solving for n, we get:

1620 = (n - 2) * 180

1620/180 = (n - 2)

9 = n - 2

n = 11

Therefore, the polygon has 11 sides.