Question

Ajutatima va-rog...Masurile a doua unghiuri suplimentare sunt direct proportionale cu 2 si 3.Calculati masura unghiurilor.

Answer 1

a + b = 180⁰ 
a / 2 = b / 3 =   ( a +b )  / ( 2 +3 ) = 180⁰ / 5 = 36 ⁰
           folosim proprietate proportie :
a / 2 = 36⁰               a = 2 · 36⁰ = 72⁰ 
b / 3 = 36⁰               b = 3 · 36⁰ = 108⁰ 

Answer 2

$Notam~masurile~unghiurilor~cu~x~si~y. \\ \\ Avem:~x+y=180 \textdegree. \\ \\ \frac{x}{2}= \frac{y}{3}=k \Rightarrow x=2k~si~y=3k. \\ \\ x+y=180 \textdegree \Leftrightarrow 2k+3k=180 \textdegree \Leftrightarrow 5k=180 \textdegree \Rightarrow k=36 \textdegree. \\ \\ x=2k=2 \cdot 36 \textdegree =72 \textdegree. \\ \\ y=3k=3 \cdot 36 \textdegree =108 \textdegree .$