Parallel lines AB and CD meet line EF at points M and N, respectively. The AMN angle is 30˚ greater

Parallel lines AB and CD meet line EF at points M and N, respectively. The AMN angle is 30˚ greater than the CNM angle. Find all the corners that are formed.

Angles AMN, CNM are internal one-sided angles with parallel AB, CD and section EF. Their sum is 180 °.
Find the smaller of them, the CNM angle:
∠ CNM = (180 ° – 30 °) / 2 = 75 °.
Accordingly, the AMN angle is:
∠AMN = 75 ° + 30 ° = 105 °.
Find all angles for lines AB and EF:
∠AMN = ∠ EMB = 105 ° (vertical);
∠ AME = 180 ° – ∠ AMN = 180 ° – 105 ° = 75 ° (adjacent);
∠ AME = NMB = 75 ° (vertical).
Similarly, we paint the angles for the lines CD and EF.