If two parallel lines are cut by a transversal, and one of the alternate interio
Practice Questions
Q1
If two parallel lines are cut by a transversal, and one of the alternate interior angles is 75 degrees, what is the measure of the other alternate interior angle? (2020)
75 degrees
105 degrees
90 degrees
180 degrees
Questions & Step-by-Step Solutions
If two parallel lines are cut by a transversal, and one of the alternate interior angles is 75 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, alternate interior angles are equal.
Step 4: Since one of the alternate interior angles is given as 75 degrees, the other alternate interior angle must also be 75 degrees.
