∵AB=AC，∠A=36°，∴∠C=∠ABC= 1 2 （180°-∠A）=72°，∵DE是AB的垂直平分线，∴AE=BE，∴∠ABE=∠A=36°，∴∠EBC=∠ABC-∠ABE=72°-36°=36°，故选B．
