Question

If a polygon has an interior angle of 144, what kind of polygon is it? (find the # of sides first

Answer 1

Each Interior Angle = ((Number of Sides -2) • 180 degrees) ÷ (Number of Sides)

Solving for number of sides

Each Interior Angle / 180 = (N -2) / (N)

144 / 180 = (n-2) / n

144 * n = 180n -360
360 = 36 n

n = 10 the number of sides

Source:
http://www.1728.org/polygon.htm