Answer:
x=23, y=129
Step-by-step explanation:
3x-18 and y are consecutive angles meaning they are supplementary and y and 5x+14 are alternate interior angles
So since y=5x+14. 3x-18 and 5x+14 are supplementary so
[tex]3x - 18 + 5x + 14 = 180[/tex]
[tex]8x - 4 = 180[/tex]
[tex]8x = 184[/tex]
[tex]x = 23[/tex]
Since x=23, let plug it in 3x-18.
[tex]3(23) - 18[/tex]
[tex]69 - 18 = 51[/tex]
Since 51 and y are consecutive interior angles, they both add up to 180 degrees.
[tex]51 + y= 180[/tex]
[tex]y = 129[/tex]
