Each side of quadrilateral ABCD is tangent to a circle.

Each side of quadrilateral ABCD is tangent to a circle. If AB = 84, BC = 78 and CD = 73, find DA.

DA = 79

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Each side of quadrilateral ABCD is tangent to a circle. If AB = 84, BC = 78 and CD = 73, find DA.

w + x = 84         x = 84 - w

x + y = 78          y = 78 - x          y = 78 - (84 - w)         y = x - 6

y + z = 73          z = 73 - y          z = 73 - (x - 6)           z = 79 - x

AD = (79 - x) + x = 79