Question

Complete the following statements:

If two parallel lines are cut by a transversal, ______________ ______________ angles, ___________. ______________ angles, and ____________________ angles are congruent.

(A) Alternate interior angles
(B) Alternate exterior angles
(C) Corresponding angles
(D) Consecutive interior angles

Interior or exterior angles on the same side of the transversal are always __________.

(A) Supplementary
(B) Complementary
(C) Equal
(D) Not equal

Answer 1

If two parallel lines are cut by a transversal, corresponding angles, alternate interior angles, and consecutive interior angles are congruent. Interior or exterior angles on the same side of the transversal are always supplementary.

Step-by-step explanation:

If two parallel lines are cut by a transversal, the corresponding angles, alternate interior angles, and consecutive interior angles are congruent. This means that the angles in the same position relative to the transversal and the parallel lines will have equal measures. For example, corresponding angles will be equal, alternate interior angles will be equal, and consecutive interior angles will be equal.

Interior or exterior angles on the same side of the transversal are always supplementary. This means that the sum of their measures is 180 degrees. This applies to both interior angles and exterior angles.