Answer:
14) 82°
15) 35°
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°
__
15) ∠GIT +∠FIT = ∠GIF
(2x +15) +(x) = (4x +5)
10 = x . . . . . . . . . . . . . . subtract 3x+5
∠GIT = 2x +15 = 2·10 +15
∠GIT = 35°