In the figure, line segment AB is parallel to line segment CD. The measure of angle C_____ is degrees, and the measure of angles D_____ is degrees.

Answer:
The measure of C is 40 degrees and
the measure of D is 75 degrees.
Step-by-step explanation:
Because you have AB parallel to CD you can deduce [tex]\angle D = \angle A[/tex] because they are alternate interior angles. So the measure of angle D is 75 degrees.
In the same manner you have that angle B and angle C are alternate interior angles, so they must have the same measure, so the measure of angle C is 40 degrees.