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How many sides has a regular polygon whose inte... - JAMB Mathematics 2014 Question

How many sides has a regular polygon whose interior angle is 135o
A
12
B
10
C
9
D
8
correct option: d

If each interior angle of the polygon is 135o, then each exterior angle is 180o - 135o = 45o. Hence, number of sides =

(\frac{360^o}{\text{one exterior angle}})

(\frac{360^o}{45^o})

= 8

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