解答:解:如图,连接OB、OC,作OM⊥AB于M,OQ⊥AC于Q,ON⊥BC于N,∴∠AMO=∠AQO=90°,∵∠A=50°,∴∠MOQ=130°,∵DE=FG=HK,∴OM=ON=OQ,∴OB、OC平分∠ABC和∠ACB,∴∠BOC= 1 2 ×(360°-130°)=115°.故选C.