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dustie
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Homework Statement
the measure of an interior angle of a regular polygon is given. need to find the number of sides in the polygon. i cannot find the formula to be able to do this.
To find the number of sides in a polygon given the measure of the interior angle, you can use the formula n = 360/α, where n is the number of sides and α is the measure of the interior angle. This formula works for regular polygons.
A regular polygon is a two-dimensional shape with equal sides and equal angles. Examples include equilateral triangles, squares, and regular pentagons.
No, this formula only works for regular polygons. For irregular polygons, the number of sides cannot be determined solely based on the measure of the interior angle.
You can check your answer by plugging in the number of sides into the formula and making sure the resulting measure of the interior angle matches the given value.
Yes, you can also use the formula n = (180(n-2))/α, where n is the number of sides and α is the measure of the interior angle. This formula works for both regular and irregular polygons.