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The sum of the angles : (n - 2)180°
The measure of one angle: [(n - 2)180°]/n
Then we have:
[(n - 2)180°]/n = 140° multiply by n to both sides;
[(n - 2)180°] = 140°n
180°n - 360° = 140°n divide by 20 to both sides;
9°n - 18° = 7°n subtract 7°n and add 18° to both sides;
2°n = 18° divide by 2° to both sides;
n = 9
Thus, the regular polygon has 9 sides.
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∙ 15y ago
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If the interior angles add up to 3600 degrees then it will have 22 sides
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