giving max points- please help?

Answer: x = 22.5, y = 9
Line L is perpendicular to line M, so a 90 degree angle forms where the two lines meet. The two angles (4x) and (10y) are both equal to 90
4x = 90 ---> x = 90/4 = 22.5 after we divide both sides by 4
10y = 90 --> y = 9 after we divide both sides by 10
If l is perpendiculer to m, then 4x and 10y are the right angles.
Therefore we have:
4x = 90 divide both sides by 4
x = 22.5
10y = 90 divide both sides by 10
y = 9