How many sides has a regular polygon whose interior angle is 135°?
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Correct Answer: Option D
Explanation:
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
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