Question

Copiati si completi fie cu a∩b$\neq$∅,fie cu a║b,astfel incat cu notatiile din figura 9 urmatoare implicatii sa fie adevarate:
a) m(∡1)=80° si m(∡5)=100°→............................................................
b) m(∡2)=100° si m(∡5)=100°→..........................................................
c) m(∡5)=90° si m(∡1)=90°→.............................................................
d) m(∡6)=120° si m(∡1)=60°→..............................................

Figura 9 este in atasamentul urmator:

Answer 1

   
[tex]a) \\ Daca~ a || b ~atunci ~m(\ \textless \ 1) = m(\ \textless \ 5) ~ca ~unghiuri~corespondente. \\ \texttt{Dar nu sunt rgale. } \Longrightarrow \boxed{a \cap b } \\ \\ b) \\ Daca~ a || b ~atunci ~m(\ \textless \ 2) = m(\ \textless \ 8) ~ca ~unghiuri~alterne externe, \\ iar~ m(\ \textless \ 5) si m(\ \textless \ 8) sunt ~suplementare =\ \textgreater \ m(\ \textless \ 2) + m(\ \textless \ 5)=180^o \\ \texttt{Dar nu sunt suplementare. } \Longrightarrow \boxed{a \cap b } \\ \\ c) \\ m(\ \textless \ 5) = m(\ \textless \ 1) = 90^o~ca ~unghiuri~corespondente. \\ \Longrightarrow \boxed{a || b} [/tex]


[tex]d) \\ m(\ \textless \ 5) = m(\ \textless \ 1) ~ca ~unghiuri~corespondente. \\ m(\ \textless \ 5) ~si~ m(\ \textless \ 6) ~sunt~suplementare \\ \Longrightarrow ~~m(\ \textless \ 6) + m(\ \textless \ 1) = 180 ~~Adica~120 + 60 = 180^o . \\ \Longrightarrow \boxed{a || b} [/tex]