Answer:
108 degrees
Explanation:
The sum of the measures of the interior angles of a polygon is given by the formula:
(n-2) x 180 degrees
Where n is the number of sides of the polygon. In the case of a pentagon, the number of sides is 5, so we can use the formula to find the sum of the measures of the interior angles of a pentagon:
(5-2) x 180 = 3 x 180 = 540
If we know that the pentagon is regular, meaning that all its angles have the same measure, we can use this information and the formula above to find the measure of each interior angle.
If we divide the sum of the measures of the interior angles by the number of sides, we get the measure of each interior angle of the regular pentagon.
540/5 = 108 degrees
So, the measure of each interior angle of a regular pentagon is 108 degrees