Question

If the sum of the interior angles of a convex polygon is (4 x 180^o). What kind of polygon is it?

• A. Pentagon
• B. Quadrilateral
• C. Triangle
• D. Hexagon

Answer 1

The correct option is D

Hexagon

We know that the sum of the interior angles of a polygon of n sides is equal to (- 2) x 180^o

Given, that the sum of the interior angles of the polygon is (4 x 180^o).

On comparing, we get,

n - 2 = 4

n = 4 + 2 = 6

Thus, the polygon is a hexagon.