if the measure of each exterior angle is 9, what type of polygon is it?
40-gon? Possibly... I am consulting my sources at the moment. Do you know if all of a polygon's angles have to measure 360 degrees?
I'm pretty sure they do. I also got 40-gon
To determine the type of polygon, we need to use the formula for the sum of exterior angles in any polygon. The sum of exterior angles of a polygon is always 360 degrees.
Let's assume the polygon has n sides.
According to the question, each exterior angle measures 9 degrees. Therefore, the sum of exterior angles can be calculated as follows:
n * 9 = 360
Divide both sides of the equation by 9:
n = 360 / 9
Simplify:
n = 40
So, the polygon in question has 40 sides, making it a 40-gon or a tetracontagon.