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Answer:

  • x = 34°

Step-by-step explanation:

Use property of exterior angles:

  • Exterior angle = sum of non-adjacent interior angles

Here we have:

  • ∠D + ∠E = ∠EFG
  • ∠EFG = ∠EFH + ∠HFG = 90° + 42° = 132°

So the equation is:

  • 2x + 64° = 132°
  • 2x = 132° - 64°
  • 2x = 68°
  • x = 68°/2
  • x = 34°

If you think it is not 34°, then your question must be asking to find something else (e.g. angle D, which is 68°)