Question
The difference between the interior and exterior angles
of a vertex of a regular polygon is 140°. The number of sides of the polygon isSolution
According to the question, Interior angle – Exterior angle = 140°……………(i) We know, Interior angle + Exterior angle = 180°…………….(ii) Solving (i) and (ii), we get Interior angle = 320°/2 = 160° Exterior angle = 20° Therefore, number of sides = 360°/20° = 18
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