Go Geometry Problem Problem 395: Square, 15 Degree, Equilateral triangle

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The figure shows a square ABCD with angles EBC and ECB equal 15 degrees. Prove that triangle AED is equilateral. Post a comment or solution.
 

Square, 15 degree, equilateral triangle
 

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Proposed Problem 396.
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Proposed Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence.
 

Triangle, Orthocenter

Proposed Problem 393.
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