Respuesta :

Answer:

11 ; 12°

Step-by-step explanation:

3x + 28 + 2x - 10 + 5x + 52 = 180

10x = 180 - 70

x = 11

m∠C = 2(11) - 10 = 12°

Answer:

Angle ACB = 12°

Step-by-step explanation:

All angles in a triangle always add up to 180°, which gives us an equation to solve for x:

3x + 28 + 5x + 52 + 2x -10 = 180

Combine like terms

10x + 70 = 180

Subtract 70 from both sides

10x = 110

Divide both sides by 10

x = 11

Now we know the value of x, we need to just plug it in to angle ACB's given value:

2(11) - 10 = Angle ACB

22 - 10 = Angle ACB

12 = Angle ACB