How many sides has a polygon if the sum of its interior angle is 1440o?

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

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How many sides has a polygon if the sum of its interior angle is 1440o?
Answer Details
To find the number of sides of a polygon given the sum of its interior angles, we can use the formula: Sum of interior angles = (n - 2) × 180° where "n" is the number of sides of the polygon. We are given that the sum of the interior angles of the polygon is 1440°. Substituting this value into the formula, we get: 1440° = (n - 2) × 180° Simplifying this equation, we can divide both sides by 180: 8 = n - 2 Adding 2 to both sides, we get: n = 10 Therefore, the polygon has 10 sides.
Read lesson note on Triangles And Polygons (WAEC)
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