How many sides does a convex polygon have with each angle of 135 degrees?

univerkov | March 8, 2021 | education

Let’s apply the formula for the angle of a regular polygon.

α = (n – 2) * 180 / n.

n * α = (n – 2) * 180.

n * 135 = 180 * n – 360.

n = 360 / (180 – 135) = 8.

Answer: A polygon has eight sides.

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