Answer:
Angle LMO = 50°
Step-by-step explanation:
1) We need to solve for x.
We know angle LMN = 90°, and that angles LMO and NMO add up to angle LMN. That gives us this equation:
3x + 38 + 10x = 90
Now, we solve for x!
Combine like terms
13x + 38 = 90
Subtract 38 from both sides
13x = 52
Divide both sides by 13
x = 4
Now we know what x is.
2) Plug in x to angle LMO's given value (3x + 38)
3(4) + 38 = angle LMO
12 + 38 = angle LMO
50° = angle LMO
