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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.
 

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 class=

Respuesta :

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

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

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.

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