A pair of parallel lines is cut by a transversal:

Question

A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 15 degrees on the other.
What is the measure of angle x? (4 points)

a. 60 degrees

b. 65 degrees

c. 70 degrees

d. 80 degrees

Answer 1

The alternate interior angles are congruent when a pair of parallel lines is cut by a transversal. Therefore, angle x is equal to 15 degrees. The answer is c. 70 degrees.