∵等腰△ABC中,AB=AC,∠A=40°,∴∠ABC=∠C= 180°?∠A 2 =70°,∵线段AB的垂直平分线交AB于D,交AC于E,∴AE=BE,∴∠ABE=∠A=40°,∴∠CBE=∠ABC-∠ABE=30°.故选:D.