The measure of angle B if angle A measures 105° is 75°.
Option D is correct.
Alternate interior angles are a pair of angles whose inner sides of each of the two lines are located on opposing sides of the diagonal line that cuts the two lines.
The sum of angles of an alternate interior angle = 180°
∠A + ∠B = 180°
105° + ∠B = 180°
∠B = 180° - 105°
∠B = 75°
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