From the same figure: EFGH is a trapezium, GHI is an isosceles triangle.
∠HGI = 24°, ∠FEH = 65°.

Given ∠FIH = \( \frac{13}{6} \) × ∠GIH.

From the diagram, read the angle ∠GIH directly at point I (the angle
between GI and IH). The figure shows ∠GIH = 24°.

∠FIH = \( \frac{13}{6} \times 24° = 13 \times 4° = 52° \).

Final Answer: 52°