Question 1012347
.
135° is the measure of the
 interior angle, what is the value of "n" in n-gon?
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The sum of interior angles of an n-sided polygon is 180*(n-2)
(see the lesson <A HREF=http://www.algebra.com/algebra/homework/Polygons/Sum-of-interior-angles-of-a-polygon.lesson>Sum of interior angles of a polygon</A> in this site).


It gives you an equation


n*135 = 180*(n-2).


Simplify and solve it:


3n = 4*(n-2),  


3n = 4n - 8,
'

n = 8.


<U>Answer</U>. n = 8.