If two lines are parallel and the transversal creates an angle of 120 degrees, w

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Question: If two lines are parallel and the transversal creates an angle of 120 degrees, what is the measure of the alternate exterior angle?

Options:

Correct Answer: 120 degrees

Solution:

Alternate exterior angles are equal when two parallel lines are cut by a transversal.

If two lines are parallel and the transversal creates an angle of 120 degrees, what is the measure of the alternate exterior angle?

If two lines are parallel and the transversal creates an angle of 120 degrees, what is the measure of the alternate exterior angle?

Step 1: Identify the two parallel lines and the transversal that crosses them.
Step 2: Note the angle created by the transversal, which is given as 120 degrees.
Step 3: Understand that alternate exterior angles are formed on opposite sides of the transversal and outside the parallel lines.
Step 4: Remember that when two lines are parallel, alternate exterior angles are equal.
Step 5: Since one alternate exterior angle is 120 degrees, the other alternate exterior angle must also be 120 degrees.

Alternate Exterior Angles – When two parallel lines are intersected by a transversal, the alternate exterior angles are equal.
Transversal Angles – A transversal is a line that crosses at least two other lines, creating various angles, including alternate exterior angles.
Properties of Parallel Lines – Understanding the properties of parallel lines and the angles formed when they are intersected by a transversal is crucial for solving related problems.