Answer:
[tex]78[/tex]
Step-by-step explanation:
The inner angles of a quadrilateral all add up to 360. This means we can write the following
[tex]114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34[/tex]
Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.
Therefore we can write
[tex]2x + y = 180\\2(34) + y = 180\\y = 112[/tex]
Finally computing y - x
[tex]y - x = 112 - 34 = 78[/tex]
