JAMB - Mathematics (2014 - No. 23)
How many sides has a regular polygon whose interior angle is 135°?
12
10
9
8
Shpjegimi
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