Question

daca ΔRST~ΔDEF si m(<R)=67 grade,m(<E)=33 grade calculati masurile unghiurilor <S,<T,<D,<F

Answer 1

ΔRST~ΔDEF => <R ≡ <D ; <S ≡ <E si <T ≡ <F.

m(<E)=33 grade => m(<S)=33 grade
m(<T)=180-m(<S)-m(<R)=180-33-67=80 (grade)
m(<D)=m(<R)=67 grade
m(<F)=m(<T)=80 grade

Answer 2

[tex]\triangle RTS \backsim \triangle DFE \Longrightarrow \widehat{R} \equiv \widehat{D} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\widehat{T} \equiv \widehat{F} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\widehat{S} \equiv \widehat{E} \\ \widehat{R}=67^{\circ} \\ \widehat{E}=33^{\circ} \\ ^{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}} \\ \boxed{\widehat{S}= \widehat{E}=33^{\circ}} \\ \boxed{\widehat{D}= \widehat{R}=67^{\circ}} \\ \widehat{T}=180-67-33 \\ \boxed{\widehat{T}=80^{\circ}=\widehat{F}}[/tex]