Question

ajutor...............m............la matematica vs.rog ​

Answer 1

$\it Fie\ x,\ y\ m\breve asurile\ unghiurilor\ din\ enun\c{\it t}.$

$\it \dfrac{x}{y}=\dfrac{3}{5} \Rightarrow \dfrac{x}{y}=0,6 \Rightarrow x=0,6y\ \ \ \ \ (1)\\ \\ \\ x+y=180^o\ \ \ \ \ (2)\\ \\ \\ (1),\ (2) \Rightarrow 0,6y+y=180^o|_{\cdot5} \Rightarrow 3y+5y=900^o \Rightarrow 8y=900^o|_{:4} \Rightarrow \\ \\ \\ \Rightarrow 2y=225^o \Rightarrow 2y=224^o60'|_{:2} \Rightarrow y=112^o30'\ \ \ \ \ (3)\\ \\ \\ (2),\ (3) \Rightarrow x+112^o30'=180^o \Rightarrow x=179^o60'-112^o30' \Rightarrow x=67^o30'$