Question

Qual o valor de A e B

Answer 1

Os ângulos em amarelo são correspondentes portanto

$\mathsf{3b-11^{\circ}=2b+6^{\circ}}\\\mathsf{3b-2b=11^{\circ}+6^{\circ} }\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{b=17^{\circ}}}}}}$

O ângulo vermelho é colateral do amarelo portanto

$\mathsf{a+3\cdot17^{\circ}-11^{\circ}=180^{\circ}}\\\mathsf{a+51^{\circ}-11^{\circ}=180^{\circ}}\\\mathsf{a+40^{\circ}=180^{\circ}}\\\mathsf{a=180^{\circ}-40^{\circ}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{a=140^{\circ}}}}}}$