E is a point on the edge CD of rectangle ABCD, and AE = AB, ab = 2BC, find the degree of ∠ EBC

E is a point on the edge CD of rectangle ABCD, and AE = AB, ab = 2BC, find the degree of ∠ EBC

∵AE=AB,AB=2BC
∴AE=2BC
And ∵ ∠ ADC = 90 °
∴∠DAC=60°
∴∠BAC=90°-60°=60°
∠ABC=1/2(180°-30°)=75°
∠EBC=90°-75°=15°