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The second angle of a triangular kite is four times as large as the first. The third angle is 35 more than the sum of the other two angles. Find the measure of the second angle.

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Call them A, B, and C. So A+B+C =180 degrees. Then
B = 4A
C = A+B+35
So
C = A+4A+35 = 5A+35
So
A+4A+5A+35 = 180
So A = (180-35)/10 = 14.5 deg
B = 4A = 58 deg (this is the required answer)
C = 5A+35 = 72.5+35 = 107.5 deg
Check A+B+C = 180

Posted on Apr 02, 2015

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Posted on Mar 29, 2015

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