If two lines are parallel and a transversal creates an angle of 40° with one of

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What’s inside this PDF?

Question: If two lines are parallel and a transversal creates an angle of 40° with one of the lines, what is the measure of the corresponding angle on the other line?

Options:

40°
140°
180°
90°

Correct Answer: 40°

Solution:

Corresponding angles are equal, so the corresponding angle is also 40°.

If two lines are parallel and a transversal creates an angle of 40° with one of

Practice Questions

If two lines are parallel and a transversal creates an angle of 40° with one of the lines, what is the measure of the corresponding angle on the other line?

40°
140°
180°
90°

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal creates an angle of 40° 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: Note that corresponding angles are the angles that are in the same position on each line when a transversal crosses them.
Step 5: Since the angle created with one of the parallel lines is 40°, the corresponding angle on the other parallel line must also be 40°.
Step 6: Conclude that the measure of the corresponding angle on the other line is 40°.

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

If two lines are parallel and a transversal creates an angle of 40° with one of

What’s inside this PDF?

If two lines are parallel and a transversal creates an angle of 40° with one of

Practice Questions

Questions & Step-by-Step Solutions

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