Two parallel lines are cut by a transversal. If one of the alternate interior an
Practice Questions
Q1
Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle? (2020)
65 degrees
115 degrees
180 degrees
75 degrees
Questions & Step-by-Step Solutions
Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle? (2020)
Step 1: Identify the two parallel lines and the transversal that cuts through them.
Step 2: Recognize that alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines.
Step 3: Note that when two parallel lines are cut by a transversal, the alternate interior angles are equal.
Step 4: Since one of the alternate interior angles is given as 65 degrees, you can conclude that the other alternate interior angle must also be 65 degrees.
