Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Explanation:
Start by setting all sides equal to 180
3x - 5 + 7x + 9 + x = 180
Add like terms
11x + 4 = 180
Solve for x
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
Now, plug in 16 for all instances of x on the triangle and solve.
∠L = 43°
∠M = 121°
∠N = 16°