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In a given regular polygon the ratio of the ext... - WAEC Mathematics 1991 Question

In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?
A
40
B
5
C
6
D
8
correct option: d
Let x be the exterior angle; interior = 3x; but x + 3x = 180o

4x = 180o; x = 45

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