The interesting sum of three angles problem!

Three squares are placed in a row. Connect the bottom left corner of each square to the top right corner of the third square, forming angles with measures a, b, c with the horizontal. What is the sum of a, b, and c?

Many people requested this problem, and I thank Roberto O. and Cardist who were the first two people to send it to me. In researching the solution I came across many other websites that have covered the problem.

References
Cut The Knot Three Squares
http://www.cut-the-knot.org/Curriculu...
Math for love three squares problem and variations
http://mathforlove.com/2014/09/three-...
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