Question 41

The sum of the interior angles of a regular polygonis $$1260^\circ$$, What is the difference between an exterior angle and an interior angle of the polygon?

Solution

The sum of the interior angles of a regular polygon = $$1260^\circ$$
(n - 2) $$\times 180 = 1260^\circ$$
n - 2 = 7
n = 9
Exterior angle = 360/9 = 40$$\degree$$
Interior angle = 180 - 40 = 140
Difference = 140 - 40 = $$100\degree$$


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