Question 254060
Let x be the exterior angle
x/(180-x)=1/4 proportion
4x=180-x multiply each side by 4(180-x)
5x=180
x=36
180-36=144 interior angle
180(n-2)/n=144 the number of sides is n.
180n-360=144n
36n=360
n=10
The polygon is a decagon.