SOLUTION: the angles of a pentagon measure x, x2, x3, x4, and x5. what is the measure of the smallest angle?

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Question 743105: the angles of a pentagon measure x, x2, x3, x4, and x5. what is the measure of the smallest angle?
Answer by fcabanski(1391) About Me  (Show Source):
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The internal angles of a polygon = (n-2)*180 where n is the number of sides. n=5, so in a pentagon the internal angles are (3)*180 = 540 degrees.


x+2x+3x+4x+5x = 540


15x=540


x=36.


The smallest angle is x = 36 degrees.

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