连接AO并延长交BC于D点,
由外角定理
角BOD=角ABO+角BAO
角COD=角ACO+角CAO
所以角BOC=角BOD+角COD=角ABO+角BAO+角ACO+角CAO
=1/2角ABC+1/2角ACB+角CAB
=1/2(角ABC+角ACB+角CAB)+1/2角CAB
=90+1/2角CAB
角A=(角BOC-90)*2=80
---------------
连接AO并延长交BC于D点,
由外角定理
角BOD=角ABO+角BAO
角COD=角ACO+角CAO
所以角BOC=角BOD+角COD=角ABO+角BAO+角ACO+角CAO
=1/2角ABC+1/2角ACB+角CAB
=1/2(角ABC+角ACB+角CAB)+1/2角CAB
=90+1/2角CAB
角A=(角BOC-90)*2=80
---------------