Question

Sabendo que r//s calcule o x​

Answer 1

a) os ângulos são correspondentes Portanto :

$\mathsf{3x-20^{\circ}=2x}\\\mathsf{3x-2x=20^{\circ}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{x=20^{\circ}}}}}}$

b) os ângulos são alternos internos portanto

$\mathsf{3x+15^{\circ}=x+55^{\circ}}\\\mathsf{3x-x=55^{\circ}-15^{\circ}}\\\mathsf{2x=40^{\circ}}$

$\mathsf{x=\dfrac{40^{\circ}}{2}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{x=20^{\circ}}}}}}$