# SOLUTION: The sum of the measures of the angles of a quadrilateral is 360 degrees. Suppose you are told tha tthe angle measures of a certain quadrilateral are consecutive multiples of 10 (su

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 Question 495845: The sum of the measures of the angles of a quadrilateral is 360 degrees. Suppose you are told tha tthe angle measures of a certain quadrilateral are consecutive multiples of 10 (such as 10,20,30.) show that this is impossible.Answer by Alan3354(31532)   (Show Source): You can put this solution on YOUR website!x + x+10 + x+20 + x+30 = 360 4x + 60 = 360 x = 75 --> 75, 85, 95 & 105 not multiples of 10 -------------- The avg has to be 360/4 = 90 4 numbers with an average of 90 are not consecutive multiples of 10