the measure of each exterior angle is 45. how many sides does the polygon have?
360 / 45 = ?
http://www.mathsisfun.com/geometry/exterior-angles-polygons.html
To determine the number of sides in a polygon given that each exterior angle measures 45 degrees, we can use the formula for the sum of the exterior angles of a polygon.
The sum of the exterior angles of any polygon is always 360 degrees.
Let's assume that the polygon has 'n' sides. Then, since each exterior angle measures 45 degrees, the sum of the exterior angles can be expressed as:
360 = 45 * n
To determine 'n', we can rearrange the equation:
n = 360 / 45
Simplifying,
n = 8
Therefore, the polygon has 8 sides.