Question

Determine o caso de congruência dos triângulos seguintes e, depois, calcule o valor de x+y.

Answer 1

$\mathsf{\triangle\,ABC\cong\triangle\,MNP\: pelo \,caso\,LAL}$

$\mathsf{x+12^{\circ}=72^{\circ}}\\\mathsf{x=72^{\circ}-12^{\circ}}\\\mathsf{x=60^{\circ}}$

$\mathsf{y-12^{\circ}=62^{\circ}}\\\mathsf{y=62^{\circ}+12^{\circ}}\\\mathsf{y=74^{\circ}}$

$\boxed{\boxed{\mathsf{x+y=60^{\circ}+74^{\circ}=134^{\circ}}}}$