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

Let n be the number of sides of the polygon.

By formula,

Sum of interior angles of an 'n' sided polygon = (2n - 4) × 90°.

Given,

In the polygon, there are 5 right angles and the remaining angles are equal to 195° each.

∴ 5 × 90° + (n - 5) × 195° = (2n - 4) × 90°

⇒ 450° + 195°.n - 975° = 180°.n - 360°

⇒ 195°.n - 180°.n = 975° - 450° - 360°

⇒ 15°.n = 165°

⇒ n = $\dfrac{165°}{15°}$ = 11.

Hence, no. of sides in the polygon = 11.