If two lines are parallel and a transversal creates an angle of 120 degrees with

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Question: If two lines are parallel and a transversal creates an angle of 120 degrees with one of the lines, what is the measure of the corresponding angle on the other line?

Options:

60 degrees
120 degrees
180 degrees
90 degrees

Correct Answer: 120 degrees

Solution:

Corresponding angles are equal, so the corresponding angle is also 120 degrees.

If two lines are parallel and a transversal creates an angle of 120 degrees with

Practice Questions

If two lines are parallel and a transversal creates an angle of 120 degrees with one of the lines, what is the measure of the corresponding angle on the other line?

60 degrees
120 degrees
180 degrees
90 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal creates an angle of 120 degrees with one of the lines, what is the measure of the corresponding angle on the other line?

Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
Step 2: Identify what a transversal is. A transversal is a line that crosses two or more other lines.
Step 3: Recognize that when a transversal crosses parallel lines, it creates angles.
Step 4: Know that corresponding angles are the angles that are in the same position on each line when a transversal crosses them.
Step 5: Since one angle is given as 120 degrees, find the corresponding angle on the other parallel line.
Step 6: Remember that corresponding angles are equal when lines are parallel.
Step 7: Conclude that the corresponding angle on the other line is also 120 degrees.

Corresponding Angles – When two parallel lines are cut by a transversal, the angles in corresponding positions are equal.
Transversal – A line that intersects two or more lines at different points, creating various angles.
Parallel Lines – Lines that run in the same direction and never intersect, maintaining a constant distance apart.

If two lines are parallel and a transversal creates an angle of 120 degrees with

What’s inside this PDF?

If two lines are parallel and a transversal creates an angle of 120 degrees with

Practice Questions

Questions & Step-by-Step Solutions

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