The sum of the angles of regular polygon is 2520o. How many sides does the polygon have?
Answer Details
The sum of the interior angles of any polygon can be found using the formula: (n-2) x 180, where n is the number of sides of the polygon.
For a regular polygon, all interior angles are equal, so we can divide the sum of the angles by the number of angles to find the measure of each interior angle.
In this case, the sum of the angles is 2520 degrees.
Let's plug this value into the formula:
(n-2) x 180 = 2520
Simplifying this equation:
n - 2 = 14
n = 16
So the polygon has 16 sides.