Question

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 1

Angle C =Angle B = 40° (INTERNAL ALTERNATES)

Angle D =Angle A = 75° (INTERNAL ALTERNATES)

Answer 2

The measure of C is 40 degrees and

the measure of D is 75 degrees.

Explanation:

Because you have AB parallel to CD you can deduce
`\angle D = \angle A` 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.