Label L, U, N, A with the correct angles. please help! (NO BOTS!)

Explanation:

Using the Z theorem for Parallel lines

A = 66 (trace out the Z -- in this  case it is backwards)

U = 54 again the Z  theorem is used.

N is part of the straight line so

N  + U + 66 = 180

N +54 + 66 = 180

N + 120 = 180             Subtract 120 from both sides

N = 180 - 120

N = 60

L + 54 make up a straight angle so L + 54 = 180

L+54 = 180             Straight angles are 180 degrees. Subtract 54

L+54-54 = 180 - 54

L = 126

L = 126

U = 54

N = 60

A = 66