Question

Cine ma poate ajuta la ambele exercitii? Dau coronița, Multimesc

Answer 1

Răspuns:

1. m(<DOB) +m(<BOC) +m(<COA) +m(<AOD) =360°

<DOB=<AOC

<DOA=<BOC

2*m(<AOC)+2*m(<BOC)=360°

2*3x°+2*x°=360°

8x°=360°

x°=360°:8

x°=45°

m(<AOC)=3x°=3*45°=135°

m(<AOD)=x°=45°

2. <DOB+<BOC+<COA+<AOD=360°

<DOB=<AOC(op. la vf.)

<DOA=<BOC(op. la vf.)

2*m(<AOC)+2*m(BOC)=360°

2*(x°+40°)+2*x°=360°

2x°+80°+2x°=360°

4x°=360°-80°

4x°=280°

x°=280°:4

x°=70°

<AOC=x+40°=70+40°=110°

<BOC=x°=70°