Question

given the following information, determine which lines, if any, are parallel. state the converse that justifies your answer. measure angle 20 + measure angle 21 = 180. parallel lines: a and b, a and c, b and c, none. converse:

Explanation:

Step1: Recall parallel - lines property

If two lines are cut by a transversal and a pair of same - side interior angles are supplementary (add up to 180°), then the two lines are parallel.

Step2: Identify the lines

Since measure of angle 20+ measure of angle 21 = 180°, the lines that are parallel are lines a and b. The converse used is: If two lines are cut by a transversal such that a pair of same - side interior angles are supplementary, then the two lines are parallel.

Answer:

Lines a and b are parallel. The converse is: If two lines are cut by a transversal such that a pair of same - side interior angles are supplementary, then the two lines are parallel.