[tex]\displaystyle\\
\text{Ex. 1}\\\\
a)\\
m(\sphericalangle A)=38^o\\
m(\sphericalangle B)=65^0\\
\Longrightarrow~~m(\sphericalangle C)=180-65-38=77^o\\
m(\sphericalangle E)=65^o\\
m(\sphericalangle F)=77^o\\
\Longrightarrow~~m(\sphericalangle D)=180-65-77=38^o\\
\Longrightarrow~~\Delta ABC \sim \Delta DE F[/tex]
[tex]\displaystyle\\
b)\\
m(\sphericalangle A)=45^o\\
m(\sphericalangle C)=54^o\\
\Longrightarrow~~m(\sphericalangle B)=180-54-45=81^o\\
m(\sphericalangle F)=54^o\\
m(\sphericalangle D)=81^o\\
\Longrightarrow~~m(\sphericalangle E)=180-54-81=45^o\\
\Longrightarrow~~\Delta ABC \sim \Delta EFD~~~~~~~\text{(nu cu DE\!\,F)}
[/tex]
[tex]\displaystyle\\
c)\\
m(\sphericalangle B)=70^o\\
m(\sphericalangle A)=40^o\\
\Longrightarrow~~m(\sphericalangle C)=180-70-40=70^o\\
m(\sphericalangle E)=70^o\\
m(\sphericalangle F)=60^o\\
\Longrightarrow~~m(\sphericalangle D)=180-70-60=50^o\\ \Longrightarrow~~\text{Cele 2 triunghiuri nu sunt asemenea.}[/tex]
