Answer:
35°
Explanation:
You want the measure of an angle marked x° if it is supplementary to one marked (4x +5)°.
Linear pair
The two marked angles form a linear pair, so are supplementary:
(4x +5)° +x° = 180°
5x +5 = 180 . . . . . . . . simplify, divide by °
x +1 = 36 . . . . . . . . divide by 5
x = 35 . . . . . . . . subtract 1
Angle KQM is a vertical angle with respect the angle marked x°, so it has the same measure.
The measure of ∠KQM is 35°.