A pentagon has a perimeter of 60 inches, a side measures 12 inches. what is the sum of the measures of the interior angles.
Its size makes not difference. All pentagons have the same total internal angle measurements.
http://www.mathsisfun.com/geometry/interior-angles-polygons.html
To find the sum of the measures of the interior angles of a regular pentagon, you can use the formula:
Sum of interior angles = (n-2) * 180 degrees
In this case, n represents the number of sides of the polygon, which is 5 for a pentagon.
Substituting the value of n into the formula:
Sum of interior angles = (5-2) * 180 degrees
= 3 * 180 degrees
= 540 degrees
Therefore, the sum of the measures of the interior angles of the pentagon is 540 degrees.