Question

fie ∡AOB si ∡BOC adiacente suplementare si [om bisectoarea unghiului aob calculati m(∡moc)daca        m(∡aob)=120grade ; m(∡boc)=70grade ;m(∡mob)=25grade

Answer 1

Daca m(∡AOB)=120° =>m(∡AOM)=m(∡MOB)=60°
Daca m(∡AOB)=120° =>m(∡BOC)=60° (ipoteza, unghiuri suplementare)
=>m(∡MOC)=60+60=120°

Daca m(∡BOC)=70° =>m(∡AOB)=110° =>m(∡AOM)=m(∡MOB)=55° 
=>m(∡MOC)=55+70=125°

Daca m(∡MOB)=25° =>m(∡AOB)=2·25=50° (OM-bisectoare)
=>m(∡BOC)=130° =>m(∡MOC)=25+130=155°