Difference between the interior and exterior angles of regular polygon is 60°. How many sides are there in the polygon?
Let interior angle be x and exterior angle be y. We know x + y = 180° …(i) Given that x – y = 60° …(ii) After solving these two equations, x = 120° and y = 60° ∴ Number of sides = (360°)/(Exterior angle ) = (360°)/(60°) = 6
