Question

Is it possible to have a polygon whose sum of interior angles is 7 right angles?

Answer 1

Let the number of sides in the polygon be n.
∴ (n - 2) x 180° = 7 Right Angles
⇒  (n - 2) x 180° = 7 x 90° 
⇒ 180°n - 360° = 630°
⇒ 180°n = 990°

⇒ n = `(990°)/(180°)`

= `(11)/(2)`

= `5(1)/(2)`

Since the number of sides of a polygon cannot be in a fraction, therefore the polygon is not possible.