题目如图所示,ABABAB,CDCDCD相交于点OOO,∠A=48∘\angle A=48^{\circ}∠A=48∘,∠D=46∘\angle D=46^{\circ}∠D=46∘.(1)(1)(1)若BEBEBE平分∠ABD\angle ABD∠ABD交CDCDCD于FFF,CECECE平分∠ACD\angle ACD∠ACD交ABABAB于GGG,求∠BEC\angle BEC∠BEC的度数;(2)(2)(2)延长ACACAC至点HHH,若直线BMBMBM平分∠ABD\angle ABD∠ABD交CDCDCD于FFF,CMCMCM平分∠DCH\angle DCH∠DCH交直线BFBFBF于MMM,求∠BMC\angle BMC∠BMC的度数.知识点:勾股定理章节:图形的性质 / 三角形