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