Answer:
∠ HFG = 55° , ∠ BFG = 125°
Explanation:
∠ CBF and ∠ BFG are alternate interior angles and are congruent , so
∠ BFG = ∠ CBF = 125°
∠ BFG and ∠ HFG are a linear pair and sum to 180° , then
∠ HFG + ∠ BFG = 180°
∠ HFG + 125° = 180° ( subtract 125° from both sides )
∠ HFG = 55°