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If two lines are parallel and the transversal creates an angle of 75 degrees wit

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Question: If two lines are parallel and the transversal creates an angle of 75 degrees with one of the lines, what is the measure of the corresponding angle on the other line?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 75 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal.

If two lines are parallel and the transversal creates an angle of 75 degrees wit

Practice Questions

Q1
If two lines are parallel and the transversal creates an angle of 75 degrees with one of the lines, what is the measure of the corresponding angle on the other line?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the transversal creates an angle of 75 degrees with one of the lines, what is the measure of the corresponding angle on the other line?
  • Step 1: Identify the two parallel lines and the transversal that crosses them.
  • Step 2: Note the angle created by the transversal and one of the parallel lines, which is given as 75 degrees.
  • Step 3: Understand that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
  • Step 4: Since the lines are parallel, the corresponding angle on the other line will be equal to the angle on the first line.
  • Step 5: Therefore, the measure of the corresponding angle on the other line is also 75 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, the angles that are in the same relative position at each intersection are called corresponding angles, and they are equal.
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