If two parallel lines are cut by a transversal and one of the alternate interior
Practice Questions
Q1
If two parallel lines are cut by a transversal and one of the alternate interior angles is 120 degrees, what is the measure of the other alternate interior angle?
60 degrees
120 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 120 degrees, what is the measure of the other alternate interior angle?
Step 1: Identify the two parallel lines and the transversal that cuts through them.
Step 2: Locate the alternate interior angles formed by the transversal and the parallel lines.
Step 3: Note that one of the alternate interior angles is given as 120 degrees.
Step 4: Recall the Alternate Interior Angles Theorem, which states that alternate interior angles are equal when two parallel lines are cut by a transversal.
Step 5: Since one alternate interior angle is 120 degrees, the other alternate interior angle must also be 120 degrees.
