Explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°