Question

DAU COROANA!AJUTATI-MA REPEDE!

Answer 1

a)notam x-masura <AOB

notam y-masura <BOC

x+y=180°

x=2y

=>2y+y=180°

=>3y=180°

=>y=60°

=>x=2•60°=120°

m<AOB=120°,m<BOC=60°

b)fie [OM-bisectoarea <AOB

fie [ON-bisectoarea <BOC

m<MON=?

m<MON=m<MOB+m<BON

m<AOB=120° (1)

[OM-bisect. <AOB=>m<AOM=m<MOB (2)

Din (1) si (2)=>m<MOB=120°:2=60°

m<BOC=60° (1)

[ON-bisect. <BOC=>m<BON=m<NOC (2)

Din (1) si (2)=>m<BON=60°:2=30°

=>m<MON=60°+30°=90°