In the triangle ABC, ab = AC, the acute angle formed by the intersection of the vertical bisector of waist AB and the straight line AC is 50 ° and the intersection line AC is at point E, and the intersection line AB is at point D. calculate the degree of ∠ EBC

∠AED=50°
therefore
∠A=90°-50°=40°
∠ABC=（180°-40）/2=70°
△AED≌△BED
therefore
∠ABE=∠A＝40°
therefore
∠EBC=70°-40°=30°

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