Question

33Select the correct answer from each drop-down menu.A75°B40°AoIn the figure, line segment AB is parallel to line segment CD.СDdegreesThe measure of angle Cisdegrees, and the measure of angles Dis>254075ResetNext

Answer 1

Angle C = 40 degrees

angle D = 75 degrees

Step-by-step explanation:

From the information given,

Angle A = 75 degrees

Angle B = 40 degrees

AB is parallel to CD. This means that AD and BC are transversals.

Angles A and D have similar positions but they are opposite sides of the transversal. This means that they are alternate angles. Alternate angles are congruent. Thus,

angle D = 75 degrees

Angles B and C have similar positions but they are opposite sides of the transversal. This means that they are alternate angles. Alternate angles are congruent. Thus,

Angle C = 40 degrees