Respuesta :

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step 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°