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As shown in the figure, in △ ABC, BD bisects ∠ ABC intersection AC at D, CE bisects ∠ ACB intersection AB at e, CE and BD intersection F, connects AF and extends intersection BC at h, FG ⊥ BC at g through F. (1) if ∠ ABC = 45 ° and ∠ ACB = 65 °, calculate the degree of ∠ HFG; (2) according to the law in (1), explore the relationship between ∠ ABC, ∠ ACB and ∠ HFG; (3) try to explore the size relationship between ∠ BFH and ∠ CFG, and explain the reason
(1) ∵ BD bisection ∵ ABC, CE bisection ∵ ACB, ∵ ah bisection ∵ BAC, ∵ ABC = 45 °, ∵ ACB = 65 °, ∵ BAC = 180 ° - 45 ° - 65 ° = 70 °, ∵ bah = 12 ∵ BAC = 35 °, ∵ AHG = ∵ ABC + ∵ bah = 45 ° + 35 ° = 80 °, ∵ FG ⊥ BC, ∵ FGH = 90 °, ∵ HFG = 90 ° - 80
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