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in triunghiul isoscel MNP,m(>M)=50 DE GRADE .Calculati m(>N)si m(>P).VA PUN CORAOANA DACA RASPUNDETI


Răspuns :

I  Presupunem ca <M e cel din varf si <N≡<P
   ΔMNP:m(<M)+m(<N)+m(<P)=180*
   50*+2·m(<N)=180*
   2·m(<N)=180*-50*
   2·m(<N)=130*⇒m(<N)=m(<P)=65*

II  Presupunem ca <M e unul dintre cele de la baza si <M≡<P
    ΔMNP:m(<M)=m(<P)=50*
              m(<M)+m(<N)+m(<P)=180*
    2·m(<M)+m(<N)=180*
2·50*+m(N)=180*
100*+m(<N)=180*⇒m(<N)=80*

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