Question

Raportul a doua unghiuri complementare este 1 supra 3. Aflati masurile celor doua unghiuri

Answer 1

$\rm Notez~cu~ "u"~si~cu~"v"~masurile~celor~doua~unghiuri. \\ \\ u+v=90 \textdegree \\ \\ \frac{u}{v} = \frac{1}{3} \Rightarrow v=3u. \\ \\ u+v=90 \textdegree \Leftrightarrow u+3u=90 \textdegree \Leftrightarrow 4u=90 \textdegree \Rightarrow u=22 \textdegree 30'. \\ \\ v=3u=3 \cdot 22 \textdegree 30'=67 \textdegree 30'. \\ \\ Primul~unghi~are~masura~de~22 \textdegree 30 ',~iar~al~doilea~67 \textdegree 30 '.$