Question

calcule x + y + z de acordo com a figura abaixo​

Answer 1

Resposta:

Explicação passo-a-passo:

180-100=y

Y=80°

A soma dos ângulos internos de um polígono é dado por

S=(n-2)*180

S=(5-2)*180

S=3*180

S=540°

100+100+100+x+x=540°

300+2x=540°

2x=540°-300°

2x=240°

X=120°

180-120=z

Z=60°

120+60+80=260°

Answer 2

$\mathsf{2x+300^{\circ}=540^{\circ}} \\\mathsf{2x=540^{\circ}-300^{\circ}}\\\mathsf{2x=240^{\circ}}\\\mathsf{x=\dfrac{240^{\circ}}{2}}\\\mathsf{x=120^{\circ}}$

$\mathsf{x=120^{\circ}}\\\mathsf{y=80^{\circ}} \\\mathsf{z=180^{\circ}-120^{\circ}=60^{\circ}}$

$\boxed{\boxed{\mathsf{x+y+z=120^{\circ}+100^{\circ}+60^{\circ}=260^{\circ}}}}$