The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.
<u>Step-by-step explanation:</u>
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
The triangle has 3 interior angles of 60 degrees
The square has 4 interior angles of 90 degrees.
The pentagon has 5 interior angles of 108 degrees .
The formula for the interior angle of a regular polygon is given by,
(
n
−
2
)
180 / n
where n refers to the number of sides.
Triangle : (3 - 2) 180 / 3 = 60 degree.
Square : (4 - 2) 180 / 4 = 90 degree.
Pentagon: (5 - 2) 180 / 5 = 108 degree.
