Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles

Assessment: WAEC SSCE - General Mathematics - 2014 (Objective) Subject: General Mathematics

Question 1 Report

Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
Answer Details
The sum of the exterior angles of a polygon is always 360 degrees. Therefore, if each exterior angle is 30 degrees, the polygon must have 360/30 = 12 sides. The formula to find the sum of interior angles of a polygon is (n-2) x 180 degrees, where n is the number of sides. Substituting n = 12 into the formula, we get: (12-2) x 180 = 10 x 180 = 1800 degrees Therefore, the sum of the interior angles of this polygon is 1800 degrees. So the correct option is 1800o.
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