119k views
0 votes
Please help me with this math question​

Please help me with this math question​-example-1
User Chriszero
by
5.1k points

1 Answer

4 votes

Answer:

10 sides

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

User Joao Costa
by
4.4k points