Notam cu a si b cele doua unghiuri cautate.
a+b=90
[tex] \frac{4}{9} *a = 2*(\frac{2}{3}*b) =\ \textgreater \ \frac{4a}{9} = \frac{4b}{3} [/tex]
[tex]4a*3=4b*9=\ \textgreater \ 12a=36 b=\ \textgreater \ a=3b[/tex]
a=3b=> 3b+b=90 => 4b=90=> b=[tex] \frac{90}{4} = \frac{45}{2} =22,5[/tex]
=> a [tex]3* \frac{90}{4} = \frac{270}{4} = \frac{135}{2} = 67,5[/tex]
