If two parallel lines are cut by a transversal and one of the exterior angles is

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What’s inside this PDF?

Question: If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?

Options:

60 degrees
120 degrees
180 degrees
90 degrees

Correct Answer: 120 degrees

Solution:

Opposite exterior angles are equal, so the opposite exterior angle also measures 120 degrees.

If two parallel lines are cut by a transversal and one of the exterior angles is

Practice Questions

If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?

60 degrees
120 degrees
180 degrees
90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?

Step 1: Identify the two parallel lines and the transversal that cuts through them.
Step 2: Recognize that when a transversal cuts parallel lines, it creates pairs of angles.
Step 3: Understand that exterior angles are the angles formed outside the parallel lines.
Step 4: Note that opposite exterior angles are equal to each other.
Step 5: Since one exterior angle is given as 120 degrees, the opposite exterior angle must also be 120 degrees.

Exterior Angles – Exterior angles are formed when a transversal intersects two parallel lines, and opposite exterior angles are equal.
Transversal – A transversal is a line that crosses at least two other lines, creating various angles, including corresponding, alternate interior, and exterior angles.
Parallel Lines – Parallel lines are lines in a plane that do not meet; they have the same slope and maintain a constant distance apart.

If two parallel lines are cut by a transversal and one of the exterior angles is

What’s inside this PDF?

If two parallel lines are cut by a transversal and one of the exterior angles is

Practice Questions

Questions & Step-by-Step Solutions

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