Answer:
x = 110
y = 40
Explanation:
m∡5 = 30° because it forms a linear pair with ∡6, which is 150°
x + y = 150 (angles 4 and 6 are alternate-interior and are congruent)
angles 3 and 6 are same-side interior and are supplementary
therefore: x -2y = 180-150
if x + y = 150 we can say that x = 150 - y
we can plug '150-y' for 'x' in x - 2y = 30
150-y - 2y = 30
-3y = -120
y = 40
x = 110