If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon.
Answer & explanation
Correct answer: option 2
By the angle sum of interior angles of a polygon, if n is the number of sides, then;
Sum of interior angles = (n-2) x 180°
540° = (n – 2) x 180°
n – 2 = \(\frac{540°}{ 180°}\)
n - 2 = 3
n = 3 + 2 = 5
Thus, the polygon is a pentagon.