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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: cho tam giac abc co a= 60 do b=80 do bc la tia p/g B tinh goc BDC

Toán Lớp 7: cho tam giac abc co a= 60 do b=80 do bc la tia p/g B tinh goc BDC

Comments ( 2 )

  1. Xét ΔABC, có:
           $\widehat{ACB}$ + $\widehat{ABC}$ + $\widehat{CAB}$ = $180^o$ (Định lý tổng 3 góc trong 1 Δ)
           $\widehat{ACB}$ + $80^o$ + $60^o$ = $180^o$ (Thay số)
           $\widehat{ACB}$ = $40^o$ hay $\widehat{DCB}$ = $40^o$
    Có: BD là tia phân giác của $\widehat{ABC}$ (gt) nên:
    ⇒ $\widehat{ABD}$ = $\widehat{DBC}$ = $\frac{\widehat{ABC}}{2}$ = $\frac{80^o}{2}$ = $40^o$
    Xét ΔBDC, có:
          $\widehat{BDC}$ + $\widehat{DBC}$ + $\widehat{DCB}$ = $180^o$ (Định lý tổng 3 góc trong 1 Δ)
          $\widehat{BDC}$ + $40^o$ + $40^o$ = $180^o$ (Thay số)
          $\widehat{BDC}$ = $100^o$
    Vậy $\widehat{BDC}$ = $100^o$
    Chúc bạn học tốt

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222-9+11+12:2*14+14 = ? ( )

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