Answer:
see explanation
Explanation:
∠ CDF and 137° are a linear pair and sum to 180° , then
∠ CDF = 180° - 137° = 43°
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the sum of the 3 angles in Δ CDF = 180° , then
∠ CFD + 43° + 32° = 180°
∠ CFD + 75° = 180° ( subtract 75° from both sides )
∠ CFD = 105°
then
∠ AFB = ∠ CFD = 105° ( vertically opposite angles are congruent )
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∠ ABF= ∠ FCD = 32° ( alternate angles are congruent )