As shown in the figure, given a point E in the square ABCD, and AE = EB = AB, find the degree of ∠ EDC and ∠ ECB

As shown in the figure, given a point E in the square ABCD, and AE = EB = AB, find the degree of ∠ EDC and ∠ ECB

Because Abe is a regular triangle, so AB = be = EA, angle Abe = bea = EAB = 60 degrees, because ABCD is a square, so ad = AE = EB = be, angle DAB = ABC = 90 degrees, so angle DAE = EBC = 90-60 = 30 degrees, angle CEB = ECB = (180-30) / 2 = 75 degrees, angle ade = DEA = (180-30) / 2 = 75 degrees, angle CDE = 90-75 = 15 degrees, I wish you learn