Answer: x = 28, y = 47
**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **
Explanation:
Finding x
40+5x=180
Subtract 40 from both sides --> 5x=140
Divide by 5 --> x=28
In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.
3y-1 = 140
(add 1 to both sides) 3y = 141
(divide by 3) y = 47