Equilateral 7962

After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF?

Correct answer:

x =  45 °

Step-by-step explanation:

a=1 h=3/2 a=3/2 10.866  b=ah=10.8660.134  tany=b:a/2  y=π180°arctan(b/(a/2))=π180°arctan(0.134/(1/2))=15   x=9060/2y=9060/215=45

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