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JAMB - Mathematics (2014 - No. 23)

How many sides has a regular polygon whose interior angle is 135°?
12
10
9
8

Selitys

If each interior angle of the polygon is 135°, then each exterior angle is 180° - 135° = 45°.

Hence, number of sides =

\(\frac{360°}{\text{one exterior angle}}\)

\(\frac{360°}{45°}\)

= 8

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