Question

Which of the following statements correctly describes the relationship between the same side interior angles of two parallel lines?

A) The same side interior angles are equal in measure.
B) The same side interior angles are supplementary, with one angle being 70 degrees greater than the other.
C) The same side interior angles are complementary, with one angle being 70 degrees greater than the other.
D) The same side interior angles are congruent, with one angle being twice the measure of the other.

Answer 1

Same side interior angles of two parallel lines are supplementary, meaning their measures add up to 180 degrees.

Step-by-step explanation:

The relationship between the same side interior angles of two parallel lines is that they are supplementary. This means that the sum of the same side interior angles equals 180 degrees. When two parallel lines are cut by a transversal, the same side interior angles are formed, and their measures add up to 180 degrees. Therefore, the correct statement to describe this relationship is B) The same side interior angles are supplementary, with one angle being 70 degrees greater than the other only if the angles already satisfy that condition not as a general rule of same side interior angles.