Question

A commercial artist is desigining a logo for a local company. The shape of the logo is that of a regular polygon whose interior angles are each 144 degrees. How many sides does the logo have?

Answer 1

144n=(n-2)180
multiply 180 times both the n and the negative 2
144n=180n-360
subtract both sides by 180n so that the variable is on one side only:
144n-180n=180n-360-180n
or
-36n= -360
divide both sides by -36
n=10
the regular polygon has 10 sides

Answer 2

Thank you so much!

Answer 3

You're welcome! :-)