E is a point in the square ABCD, and the triangle Abe is an equilateral triangle, connecting CE and De, then ∠ CBE=____ ,∠DCE=____ ,∠CED=____ | Math enthusiast | Mathematical art

E is a point in the square ABCD, and the triangle Abe is an equilateral triangle, connecting CE and De, then ∠ CBE= ,∠DCE= ,∠CED=

The triangle Abe is an equilateral triangle with 30 °, 15 ° and 150 ° ∵ the triangle Abe is an equilateral triangle with 60 ° AB = be = AE and the quadrilateral ABCD is a square with ABC = bad = 90 ° AB = BC = ad ≌ CBE = DAE = 30 ° AB = be = AE = BC = ad ≌ ade ≌ BCE ≌ AED = ≌ ade = ≌ BCE = ≌ BEC = 75 ° C

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