Question

Doua dintre unghiurile exterioare ale unui triunghi au masurile de 70grade si 130grade. Calculati masurile unghiurilor triunghiurilor. (va rog dati-mi si rezolvarea , nu doar raspunsul)

Answer 1

70+70=140grade 130+130=260grade

Answer 2

   
[tex]\displaystyle \\ \texttt{Notam unchiurile triunghiului cu: A, B, C } \\ \texttt{Astfel avem: } \\ \texttt{\ \textless \ A interior, \ \textless \ A exterior, \ \textless \ B interior, \ \textless \ B exterior} \\ \ \textless \ A_{interior} ~si~ \ \textless \ A_{exterior} ~ sunt ~suplementare. \\ \ \textless \ B_{interior} ~si~ \ \textless \ B_{exterior} ~ sunt ~suplementare. \\ \texttt{Consideram ca: } \\ \ \textless \ A_{exterior} = 70^o ~~~si~~~ \ \textless \ B_{exterior} = 130^o \\ \\ \ \textless \ A_{interior} = 180 - \ \textless \ A_{exterior} = 180 - 70 = \boxed{110^o } \\ [/tex]

[tex]\ \textless \ B_{interior} = 180 - \ \textless \ B_{exterior} = 180 - 130 = \boxed{50^o } \\ \ \textless \ C_{interior} = 180 - \ \textless \ A_{interior} = -B _{interior} =180-110-50= \boxed{20^o } [/tex]