Can there exist a regular polygon whose interior angle is 137°? – InterviewSolution

1.

Can there exist a regular polygon whose interior angle is 137°?

Answer»

It is given that the measure of each interior angle of a regular polygon = 137° (if possible)

Suppose number of sides of the polygon = n

Sum of all then exterior angles = 360°

⇒ n x 43° = 360°

⇒ n = 360°/43°

= 8(16/43) ≠ a whole number

Hence, a regular polygon having a measure of each interior angle 137° cannot exist.

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