Answer:
10 sides
Step-by-step explanation:
1) First recall how to obtain the measurements of both interior angles and exterior angles:
Interior angles can be calculated from the formula
Sum of Interior Angles = (n-2)180
Sum of Exterior Angles = 360
From the Sum formulas, you can obtain the formula for the individual angles
Interior angle = [(n-2)180]/n
Exterior angle = 360/n
2) Now set up your equation:
[180(n-2)]/n = 4(360/n)
3) Solve for n
180(n-2) = 4(360)
n-2 = 8
n= 10
