Question

The sum of the angles of a polygon is 2700°. How many sides does it have?

Answer 1

Sum of angles of the given polygon = 2700°

We know that the sum of the angles of a polygon with n sides = (n −2) × 180°

⇒ (n −2) × 180° = 2700°

⇒ n −2 =

⇒ n −2 = 15

⇒ n = 17

Thus, the given polygon has 17 sides.