Question

em cada caso determine o valo de x e y sabendo que r\\s

Answer 1

Resposta:

a)

$2x-75=\dfrac{3x}{4}=\to correspondentes\\ \\ \\ 8x-300=3x\\ \\ 8x-3x=300\\ \\ 5x=300\\ \\ x=\dfrac{300}{5}\\ \\ \boxed{x=60^{\circ}}$

$y+\dfrac{3x}{4}=180\to suplementares\\ \\ y+\dfrac{3(60)}{4}=180\\ \\ y+\dfrac{180}{4}=180\\ \\ y+45=180\\ \\ y=180-45\\ \\ \boxed{y=135^{\circ}}$

==============================================

b)

$7x=210\to alternos~~internos\\ \\ x=\dfrac{210}{7}\\ \\ \boxed{x=30^{\circ}}\\ \\ \\ y=7x\to correspondentes\\ \\ y=7.(30)\\ \\\boxed{ y=210^{\circ}}\\ \\ \\ ou\\ \\ \\ y=210^{\circ}\to o.p.v$