The interior angles of a regular polygon measure at 144 degrees each. How many sides does the figure have?

Question

i need to know how many sides the figure has 

Answer 1

180(n-2)=n*144 in our case

solving for n we obtain:

36n = 360

n=10 sides

CHECK!!!!!!!!!!!!!!!!!!!

Answer 2

There is a general formula, probably given in your text book, for figuring out the internal angles of any n-sided regular polygon:

 

Interior Angle = (n-2)*180^o/n

 

Where n is the number of sides on the regular polygon.  In your case, you are given the interior angle:

 

144^o = (n-2)*180^o/n

 

Solve for n.