Question

Find the measure of <2. State the theorem used to justify your answer.

A. 67º, alternate interior angles theorem
B. 67°, consecutive interior angles theorem
C. 113º, alternate interior angles theorem
D. 113º, consecutive interior angles theorem

Answer 1

The measure of <2 is 113º and the theorem used to justify this is the Alternate Interior Angles Theorem.

Step-by-step explanation:

The measure of <2 is 113º. This is determined using the Alternate Interior Angles Theorem. According to this theorem, when two parallel lines are intersected by a transversal, the alternate interior angles are congruent.

In this case, <2 is an alternate interior angle with <1 given that they are on opposite sides of the transversal and lie between the parallel lines. As a result, the measure of <2 is also 113º.