Answer:
x=43, y=60
Explanation:
you can divide the solving procedure into 2 big parts:
1. find equations regarding the straight angles(add up to 180°) and the vertically opposite angles(same angles).
2. add up the equations to use elimination method to get the values of x and y.
1. sol)
[straight angles]
(2y+17)+x=180
(3x+8)+x=180
[vertically opposite angles]
(2y+17)=(3x+8)
2. sol)
⭐️ you can get x value from the second equation of [straight angles] section from above because it's only about x.
(3x+8)+x=180, 4x=172, x=43
then you plug the x value to either of the remaining equations:
i chose...(2y+17)+x=180, (2y+17)+43=180, 2y=120, y=60
thus,
x=43, y=60