The inside angle of a regular polygon is 140 degrees. Is the number of vertices of the polygon equal to?

The inside angle of a regular polygon is:

αn = (n – 2) * 180 / n.

Then: 140 * n = 180 * n – 360.

40 * n = 360.

n = 360/40 = 9.

Answer: A regular polygon has 9 vertices.



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