<PRE><B>Question 233660</B>
I think no.


the formula is:


degrees of each angle = (n-2) * 180 / n


Let d = degrees of the angle.


d = (n-2) * 180 / n


Multiply both sides by n to get:


d*n = (n-2) * 180


Remove Parentheses to get:


d*n = 180*n - 360


Subtract d*n from both sides and add 360 to both sides to get:


180*n - d*n = 360


Factor out the n to get:


(180-d)*n = 360


Divide both sides by (180-d) to get:


n = 360 / (180-d)


360 / (180-d) has to be an integer.


If d = 157, then:


n = 360 / (180-157) becomes:


n = 360 / 23 which becomes:


n = 15.65..... which is not an integer.


The answer is no because n is not an integer as it needs to be.




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