x = 45 + 66
Therefore x is 111 degrees
To find y, we will use the triangle method. We know that a triangle adds to 180, and so do two adjacent angles on a straight line.
180-66 = 114
180 - 114 - 30 = y
Therefore y is 36 degrees.
Same principles with z.
180- 119 = 61
180 - 61 - 43 = z
Therefore, z is 76 degrees.
Final:
x = 111
y = 36
z = 76