SOLUTION: One of the interior angles of an n-sided polygon is 95° and the remaining interior angles are 169° each. Find the value of n.

Algebra ->  Polygons -> SOLUTION: One of the interior angles of an n-sided polygon is 95° and the remaining interior angles are 169° each. Find the value of n.      Log On


   



Question 1009695: One of the interior angles of an n-sided polygon is 95° and the remaining interior angles are 169° each. Find the value of n.
Answer by stanbon(75887) About Me  (Show Source):
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One of the interior angles of an n-sided polygon is 95° and the remaining interior angles are 169° each. Find the value of n.
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Sum of the interior angles:: (n-2)180 degrees
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Equation:
95 + 169(n-1) = (n-2)180
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95 + 169n - 169 = 180n - 360
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11n = 95-169 + 360
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11n = 286
n = 26
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Cheers,
Stan H.
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