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If two lines are parallel and the transversal creates an angle of 70 degrees wit

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Question: If two lines are parallel and the transversal creates an angle of 70 degrees with one of the lines, what is the measure of the corresponding angle on the other line?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 70 degrees

Solution:

Corresponding angles are equal, so the angle on the other line is also 70 degrees.

If two lines are parallel and the transversal creates an angle of 70 degrees wit

Practice Questions

Q1
If two lines are parallel and the transversal creates an angle of 70 degrees with one of the lines, what is the measure of the corresponding angle on the other line?
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the transversal creates an angle of 70 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 the angle created with one of the parallel lines is 70 degrees, the corresponding angle on the other parallel line must also be 70 degrees.
  • Step 6: Conclude that the measure of the corresponding angle on the other line is 70 degrees.
  • Corresponding Angles – When two parallel lines are cut by a transversal, the angles in corresponding positions are equal.
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