What is the measure of angle x if two parallel lines are cut by a transversal an
Practice Questions
Q1
What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?
60 degrees
120 degrees
90 degrees
30 degrees
Questions & Step-by-Step Solutions
What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?
Step 1: Understand that two parallel lines are cut by a transversal, creating various angles.
Step 2: Identify that angle x is an exterior angle and is supplementary to an interior angle.
Step 3: Recall that supplementary angles add up to 180 degrees.
Step 4: Note that the interior angle measures 120 degrees.
Step 5: Use the formula for supplementary angles: angle x + 120 degrees = 180 degrees.
Step 6: Solve for angle x by subtracting 120 degrees from 180 degrees: angle x = 180 - 120.
Step 7: Calculate the result: angle x = 60 degrees.
