Question

In a polygon, there are 5 right angles and the remaining angles are equal to 195^o each. Find the number of sides in the polygon.

Answer 1

Let n be the number of sides.

Therefore,

Sum of interior angles = (n − 2)180°

Given that there are 5 right angles.

Sum of interior angles = 5 × 90° + (n − 5)195°

⇒ (n − 2)180° = 450° + (n − 5)195°

⇒ 180 n − 360° = 450° + 195 n − 975°

⇒ 195 n − 180 n = 525° − 360°

`=> "n" = (165°)/(15°)`

⇒ n = 11