Respuesta :

5x+4=114 (vertical angles are equivalent)
5x=110
x=22

Plug x into the equation 114+2y+3x-24= 180 (angles form a straight angle)
114+2y+3(22)-24=180
90+2y+3(22)=180
90+2y+66=180
156+2y=180
2y=24
y=12

Final answer: x=22, y=12