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If two lines are parallel and a transversal intersects them, what is the sum of

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Question: If two lines are parallel and a transversal intersects them, what is the sum of the interior angles on the same side of the transversal?

Options:

  1. 90 degrees
  2. 180 degrees
  3. 360 degrees
  4. It varies.

Correct Answer: 180 degrees

Solution: 

The sum of the interior angles on the same side of the transversal is 180 degrees.

If two lines are parallel and a transversal intersects them, what is the sum of

Practice Questions

Q1
If two lines are parallel and a transversal intersects them, what is the sum of the interior angles on the same side of the transversal?
  1. 90 degrees
  2. 180 degrees
  3. 360 degrees
  4. It varies.

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal intersects them, what is the sum of the interior angles on the same side of the transversal?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Identify the transversal, which is a line that crosses the two parallel lines.
  • Step 3: Look at the angles formed on the same side of the transversal where it intersects the parallel lines.
  • Step 4: Recognize that the two angles on the same side of the transversal are called interior angles.
  • Step 5: Know that when two parallel lines are cut by a transversal, the interior angles on the same side add up to 180 degrees.
  • Parallel Lines and Transversals – When two parallel lines are intersected by a transversal, specific angle relationships are formed, including corresponding angles, alternate interior angles, and same-side interior angles.
  • Interior Angles – The angles that lie between the two parallel lines on the same side of the transversal are called same-side interior angles, and their sum is always 180 degrees.
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