SOLUTION: in an n-sided polygon, two angles are right angles and each of the remaining angles is 150 degrees, find the value of n?
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Question 600009: in an n-sided polygon, two angles are right angles and each of the remaining angles is 150 degrees, find the value of n? Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! in an n-sided polygon, two angles are right angles and each of the remaining angles is 150 degrees, find the value of n?
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The sum of the interior angles of an n-sided polygon is 180(n-2).
The sum of two of the angles is 2*90 = 180
The sum of the remaining n-2 angles is 150(n-2)
So we can write the following equation:
180(n-2) = 180 + 150(n-2)
30(n-2) = 180
n = 8
