Hey guys can anyone help me find the missing side length pls and ty

In the given right angled triangle, we have

Now, By using trigonometric ratios

According to the question :-

Therefore,

Let the unknown angle be x

Now,

Thus, The value of m = 2√2 and n = 2

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18