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Sum

Is it possible to have a polygon, whose sum of interior angle is: 7 right-angles

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#### Solution

Let no. of sides = n

Sum of angles = 7 right angles = 7 x 90 = 630°

(n – 2) x 180° = 630°

n – 2 = `630/180`

n – 2 = `7/2`

n = `7/2` + 2

n = `11/2`

Which is not a whole number. Hence it is not possible to have a polygon, the sum of whose interior angles is 7 right-angles.

Concept: Sum of Angles of a Polynomial

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