Find the number of sides ina polygon if the sum of its interior angles is 16 right angles.

According to the properties of a polygon, if there are n sides, then the sum of its interior angles is (2n - 4) x 90°.

It is given that the sum of its interior angles is 16 right angles, which equals 16 x 90° = 1440°.

So,

(2n - 4) x 90° = 1440°

⇒ (2n - 4) = $\dfrac{1440°}{90°}$

⇒ 2n - 4 = 16

⇒ 2n = 16 + 4

⇒ 2n = 20

⇒ n = $\dfrac{20}{2}$

⇒ n = 10

Hence, the number of sides is 10.