Question

Name the convex polygon whose interior angle measures have each given sum. 900 and 2520

Answer 1

A convex polygon's interior angle measure is given by the formula (n-2) * 180, where n is the number of sides of the polygon. So for a polygon with an interior angle sum of 900, we have (n-2) * 180 = 900. Solving for n, we get n = 5.

For a polygon with an interior angle sum of 2520, we have (n-2) * 180 = 2520. Solving for n, we get n = 14.

So the convex polygon with an interior angle sum of 900 is a pentagon, and the convex polygon with an interior angle sum of 2520 is a 14-gon.

Explanation: