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WAEC - Mathematics (1991 - No. 45)

In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?
40
5
6
8
12

Explication

Let x be the exterior angle; interior = 3x; but x + 3x = 180o

4x = 180o; x = 45

= \(\frac{360}{45}\) = 8

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