Question

I am stuck with this math problem can someone help me?

Answer 1

Really lovely.

Looking at the angles y and (2y-6), they are opposite interior angles of two parallel lines. Their sum is 180. 

y + (2y -6) = 180
3y - 6  = 180
3y = 180 + 6
3y = 186   Divide both sides by 3.
y = 186/3 = 62.                               y = 62.

y + w = 180      sum of angles on a straight line.
62 + w = 180
w = 180 -62 = 128  
w = 128.

Looking at the triangle:
w + z + 30 = 180      Sum of angles in a triangle, substituting w.
128 + z + 30 = 180
z  + 158 = 180
z = 180 - 158 = 22.
z = 22.

x = z     Alternate angles between parallel lines are equal.
but z = 22.
Therefore, x = 22.
Cheers.