SOLUTION: One of the interior angles of the polygon with n sides is 124 degrees and the other (n-1) interior angles are each equal to 142 degrees. Find the value of n.
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Question 985194: One of the interior angles of the polygon with n sides is 124 degrees and the other (n-1) interior angles are each equal to 142 degrees. Find the value of n. Answer by srinivas.g(540) (Show Source):
You can put this solution on YOUR website! the sum of the interior angles of a polygon of n sides is 180(n - 2).
124+(n-1)*142= 180(n-2)
124+142n-142 =180n-180*2
142n+124-142 =180n-360
142 n-18=180n-360
142n-18+360 =180n
142 n+342=180n
342=180 n-142 n
342=38 n
n=
9
Result : 9
