Answer: L = 90, k = 75, M = 51
Explanation:
1) Find angle L
It is a right angle so its 90 degrees
L = 90
2) Find x
You know these angles add up to 180-90 because triangles' angles add up to 180 and you need to minus 90 from the right angle.
(5x-9)+(4x+27) = 180 - 90
9x+18 = 90
9x = 108
x = 12
3) Solve angle k
k = 4x+27
k = 4(12) + 27
k = 48+27
k = 75
4) Solve angle M
M = 5x-9
M = 5(12)-9
M = 60-9
M = 51