Olympiad Corner: A Trig Touch To Geometry

AB is perpendicular to BC. E and F are two points on BC such that AB = BE = EF = FC. Angles AEB, AFB, and ACB are Alpha, Beta, and Gamma respectively. What is the sum of these three angles?

Interestingly, there are more than 50 ways to get the answer. Though many of them involve concepts from Geometry, there is one easy solution using trig ratios. Check out this video to learn it.

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