SOLUTION: 135=(n-2)x180/n Could someone please work this out in detail. It’s not the answer I don’t know. I keep coming up with an extra n from the divisor 135=180nx360/n Multiply b

Algebra ->  Formulas -> SOLUTION: 135=(n-2)x180/n Could someone please work this out in detail. It’s not the answer I don’t know. I keep coming up with an extra n from the divisor 135=180nx360/n Multiply b      Log On


   



Question 1112334: 135=(n-2)x180/n
Could someone please work this out in detail. It’s not the answer I don’t know. I keep coming up with an extra n from the divisor
135=180nx360/n
Multiply both sides by n to get rid of the fraction you get 135n=180n squared x360n. I know this isn’t right so I must be math weary.

Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your equation is

135 = (%28%28n-2%29%2A180%29%2Fn.


and you need solve it for "n".  

For it, multiply both sides by n. You will get


135n = (n-2)*180

135n = 180n - 360

360 = 180n - 135n

360 = 45n

n = 360%2F45 = 8.

Solved.   The answer is  n = 8.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
135=(n-2)x180/n
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Use * (Shift 8) for multiply, not x.
135=(n-2)*180/n
135n = (n-2)*180
135n = 180n - 360
-45n = -360
n = 8
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Angle = (n-2)*180/n is the equation for the interior angles of a regular polygon with n sides.
n = 8 --> an octagon with equal angles and equal side lengths