SOLUTION: In an equiangular polygon, the measure of each exterior angle is 25% of the measure of each interior angle. What is the name of the polygon?
I need to know how to get the answer
Algebra ->
Polygons
-> SOLUTION: In an equiangular polygon, the measure of each exterior angle is 25% of the measure of each interior angle. What is the name of the polygon?
I need to know how to get the answer
Log On
Question 393428: In an equiangular polygon, the measure of each exterior angle is 25% of the measure of each interior angle. What is the name of the polygon?
I need to know how to get the answer! Thanks! Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! 180 * .25 = 45 deg.
180-45=135 deg int angle
180/n * (n-2) formula for the interior angle. n=number of sides.
180/n * (n-2) = 135
180(n-2)=135n
180n-360=135n
45n=360
n=8 It is an octagon
.
Ed
