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