Answered

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Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 45

Step-by-step explanation:

If we assume that ray GJ lies between rays GF and GH, then the angle sum theorem tells us ...

  ∠FGH = ∠FGJ +∠JGH

  140° = 95° +x°

  45° = x° . . . . . . subtract 95° from both sides

  x = 45

_____

Alternate solution

There is an alternate solution if ray GF lies between ray GH and ray GJ.

  ∠JGH = ∠FGJ +∠FGH

  x° = 95° +140°

  x° = 235°

  x = 235

Without some additional information, we cannot tell which assumption we should make about the geometry.

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