Question

Sendo OP bissetriz do ângulo AÔB, determine o valor de x e o valor do ângulo PÔB. (Me ajudem pfv)

Answer 1

Resposta:

x=34°

Explicação passo-a-passo:

2(x+16°)+(3x-22°)=180° (ângulo raso)

2x+32°+3x-22°=180°

5x+10°=180°

5x=180°-10°

5x=170°

x=34°

Answer 2

$\mathsf{x+16^{\circ}+x+16^{\circ}+3x-22^{\circ}=180^{\circ}}\\\mathsf{5x=180^{\circ}-16^{\circ}-16^{\circ}+22^{\circ}}\\\mathsf{5x=170^{\circ}}\\\mathsf{x=\dfrac{170^{\circ}}{5}}\\\huge\boxed{\boxed{\mathsf{x=34^{\circ}}}}$

$\mathsf{P\hat{O}B=x+16^{\circ}}\\\mathsf{P\hat{O}B=34^{\circ}+16^{\circ}}\\\huge\boxed{\boxed{\mathsf{P\hat{O}B=50^{\circ}}}}$