Respuesta :

Answer:

Step-by-step explanation:

If two triangles are similar to each other, that means all their angle are equal, which means in this case that:

  • Angle DEF = Angle DGF
  • Angle EDF = Angle GDF
  • Angle DFE = Angle DFG

That means we get the equation:

3x = 24 --> x = 8

9y = 108 --> y= 12

z = 360 - 24 - 108 = 226

Thus x = 8, y = 12, and z = 226

Hope that helps!