If two parallel lines are cut by a transversal and one of the corresponding angl

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Question: If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?

Options:

30 degrees
150 degrees
90 degrees
60 degrees

Correct Answer: 30 degrees

Solution:

Corresponding angles are equal when two parallel lines are cut by a transversal. Thus, the other corresponding angle also measures 30 degrees.

If two parallel lines are cut by a transversal and one of the corresponding angl

Practice Questions

If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?

30 degrees
150 degrees
90 degrees
60 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?

Step 1: Identify the two parallel lines and the transversal that cuts across them.
Step 2: Recognize that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
Step 3: Note that if one corresponding angle is given as 30 degrees, the other corresponding angle must be in the same position on the other parallel line.
Step 4: Understand the property of corresponding angles: when two parallel lines are cut by a transversal, corresponding angles are equal.
Step 5: Conclude that since one corresponding angle is 30 degrees, the other corresponding angle is also 30 degrees.

Corresponding Angles – When two parallel lines are intersected by a transversal, the angles in corresponding positions are equal.

If two parallel lines are cut by a transversal and one of the corresponding angl

What’s inside this PDF?

If two parallel lines are cut by a transversal and one of the corresponding angl

Practice Questions

Questions & Step-by-Step Solutions

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