Answer: the sum of the measures of the interior angles of a pentagon is 540 degrees and that of a decagon is 1440 degrees
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
A Pentagon has 5 sides. This means that the sum of the angles in a heptagon is
180(5 - 2) = 180 × 3 = 540 degrees
A Decagon has 10 sides. This means that the sum of the angles in a heptagon is
180(10 - 2) = 180 × 8 = 1440 degrees
