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Answer:
The angle of HKL is 145°
Step-by-step explanation:
Step 1:
Produce LK to meet GF at N.
Now, alternate angles are equal.
Step 2:
∠ CHG= ∠ HGN = 60°
∠ HGN = ∠ LNF = 60° (corresponding angles).
Step 3:
Therefore ∠ KNG= 180° - 60° = 120°
∠ GNK= ∠ AKL = 120° (corresponding anlges)
∠ AKH = ∠ KHD = 25° (alternate angles)
∠ HKL= ∠ AKH + ∠ AKL =25° + 120° = 145°
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