Respuesta :

in this problem we have that

y+20=x+15 -------> by vertical angles

isolate variable y

y=x+15-20

y=x-5 ------> equation A

and

(3x+5)+(x+15)=180 ------> by form a linear pair (sipplementary angles)

solve for x

4x+20=180

4x=160

x=40

substitute the value of x in equation A

y=40-5

y=35

therefore

x=40 and y=35