Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.
SO you have 71 + 5x -26 = 180
Simplify:
5x + 45 = 180
Subtract 45 from both sides:
5x = 135
Divide both sides by 5:
x = 135 / 5
x = 27
Now you have x solve what that angle equals:
5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees
The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,
so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.
The answers are:
x = 27
y = 109