Question

Which of these statements is true? A. The interior angles of both a regular and irregular pentagon have a sum of 540o. B. The interior angles of both a regular and irregular pentagon have a sum of 1,080o. C. Only a regular pentagon’s interior angles have a sum of 540o. D. Only an irregular pentagon’s interior angles have a sum of 540o.

Answer 1

Option A is the correct answer.

Explanation:

The sum of interior angles of a polygon is given by (n-2) x 180°, where n is the number of sides.

The sum of interior angles will not affect irregularity of polygon, it is same for regular and irregular polygon.

For a pentagon n =5.

Sum of interior angles = (5-2) x 180 = 3 x 180 = 540°

Option A is the correct answer.