Answer: 55 degrees.
Step-by-step explanation:
We know that lines M and N are parallel.
The angle 1, is the angle in the first quadrant formed by the intersection of lines k and n.
we can see that in the quadrant 1 of the intersection between lines k and m, the angle is 55°
Then knowing that n and m are parallel, the angles in each quadrant of the intersection km must coincide with the angles in the corresponding quadrants of kn.
Then we have that the angle 1 must be equal to 55°
