Question

Find the value of y for which line a is parallel to line b.

33

147

57

66

Answer 1

Angle y and the 33 degree angle must sum to 180 degrees for line a and b to be parallel.
They are consecutive interior (also called same side interior) angles.
180 - 33 = 147
y = 147 degrees

Answer 2

x=33 since alternate interior angles are congruent
so y =180-33
y=147