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 corresponding interior angle?

Options:

60 degrees
120 degrees
90 degrees
180 degrees

Correct Answer: 60 degrees

Solution:

The corresponding interior angle is supplementary to the exterior angle. Thus, 180 - 120 = 60 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 corresponding 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 exterior angles is 120 degrees, what is the measure of the corresponding interior angle?

Step 1: Understand that when two parallel lines are cut by a transversal, they create angles.
Step 2: Identify that an exterior angle is formed outside the parallel lines.
Step 3: Recognize that the exterior angle of 120 degrees is related to the corresponding interior angle.
Step 4: Remember that the exterior angle and the corresponding interior angle are supplementary, meaning they add up to 180 degrees.
Step 5: To find the corresponding interior angle, subtract the exterior angle from 180 degrees: 180 - 120.
Step 6: Calculate the result: 180 - 120 = 60 degrees.
Step 7: Conclude that the measure of the corresponding interior angle is 60 degrees.

Exterior and Interior Angles – Understanding the relationship between exterior angles formed by a transversal and corresponding interior angles.
Supplementary Angles – Recognizing that exterior and corresponding interior angles are supplementary when two parallel lines are cut by a transversal.

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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