Question

C

A
32°
F
137⁰
D
B
Lines AB and CD are parallel.
Enter the measures of the three angles in the diagram.

Answer 1

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 )

Answer 2

mmmm

Explanation:

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