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Question
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.
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