Question

Ajutor va rog!:(
Va rog foarte frumos!​

Answer 1

<AOB+<BOC+<COD+<AOD=360°

<BOC=2•<AOB; <COD=<COA  si <AOD=108°

<COA (sau <AOC) = <AOB+<BOC; deci in loc de <AOB+<BOC scriem <COA

=> <COA+<COD+108°=360°; dar <COA=COD

=> 2•<COA=360°-108°

<COA=252°:2

<COA=<COD=126°

<AOB+<BOC=<AOB+2•<AOB=3•<AOB=126°

=> <AOB=126°:3=42° si <BOC=2•42°=84°

R: <AOB=42°; <BOC=84°; <COD=126° si <AOD=108°

42°+84°+126°+108°=360°