Question

unghiurile AOB SI BOC sunt adiacente complementare,iar primul are multimea de 3 ori mai mare decat al doilea.Aflati m celor 2 unghiuri.
URGENTTT+DAU COROANAAA​​

Answer 1

fie m lui BOC = a => m AOB = 3a

a + 3a = 90 => 4a=90 => a = 22,5 => m BOC = 22,5

m AOB = 3*22,5 = 67,5

Answer 2

$\it Not\u am\ m(\widehat{BOC})=x \Rightarrow m(\widehat{AOB})=3x\\ \\ x+3x=90^o \Rightarrow 4x=90^o \Rightarrow x=90^o:4=88^o120':4=22^o30' \Rightarrow \\ \\ \Rightarrow \ m(\widehat{BOC})=22^o30'\\ \\ \ m(\widehat{AOB})=90^o-22^o30'=89^o60'-22^o30'=67^o30'$