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Answer:

  14)  82°

  15)  35°

Step-by-step explanation:

14) The two angles either side of the bisector have equal measures, so ...

  3x +5 = x +29

  2x = 24 . . . . . . . subtract x+5

  4x = 48 . . . . . . . multiply by 2

  ∠GEO = ∠GEM +∠MEO = (3x +5) +(x +29) = 4x +34 = 48 +34

  ∠GEO = 82°

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15) ∠GIT +∠FIT = ∠GIF

  (2x +15) +(x) = (4x +5)

  10 = x . . . . . . . . . . . . . . subtract 3x+5

  ∠GIT = 2x +15 = 2·10 +15

  ∠GIT = 35°

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