Question

Determine o valor de (alfa) no caso a seguir:

Answer 1

4x-2y+2x-y=180
x+y+4x-2y=180
Simplificando,

6x-3y=180
5x-y=180

Iguala as duas:
6x-3y=5x-y
2y=x

4.(2y)-2y+(2y)-y=180
8y-2y+4y-y=180
9y=180
y=180/9
y= 20°

x+20+4x-40=180
5x-20=180
5x=200
x=40°

4x-2y = alfa
4.40-2.20=
160-40 =
120°

Bons estudos!