Answer:
x = 60.4°
Explanation:
DEF is a straight line , then
110.2 + ∠ BEG + 25.6° = 180°
∠ BEG + 135.8° = 180° ( subtract 135.8° from both sides )
∠ BEG = 44.2°
∠ DEB and ∠ CBE are alternate angles and are congruent , so
∠ EBG = 110.2° - 34.8° = 75.4°
Then using °°the sum of angles in a triangle = 180°
x = 180° - 44.2° - 75.4° = 180° - 119.6° = 60.4°