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If two lines are intersected by a transversal and the sum of the interior angles

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Question: If two lines are intersected by a transversal and the sum of the interior angles on the same side of the transversal is 200 degrees, what can be concluded about the two lines? (2022)

Options:

  1. They are parallel
  2. They are perpendicular
  3. They intersect
  4. They are skew lines

Correct Answer: They intersect

Exam Year: 2022

Solution: 

If the sum of the interior angles on the same side of the transversal is greater than 180 degrees, the two lines must intersect.

If two lines are intersected by a transversal and the sum of the interior angles

Practice Questions

Q1
If two lines are intersected by a transversal and the sum of the interior angles on the same side of the transversal is 200 degrees, what can be concluded about the two lines? (2022)
  1. They are parallel
  2. They are perpendicular
  3. They intersect
  4. They are skew lines

Questions & Step-by-Step Solutions

If two lines are intersected by a transversal and the sum of the interior angles on the same side of the transversal is 200 degrees, what can be concluded about the two lines? (2022)
  • Step 1: Understand what a transversal is. A transversal is a line that crosses two other lines.
  • Step 2: Identify the two lines that are being intersected by the transversal.
  • Step 3: Look at the angles formed on the same side of the transversal. These are called interior angles.
  • Step 4: Note the sum of these interior angles. In this case, it is given as 200 degrees.
  • Step 5: Recall the rule: If the sum of the interior angles on the same side of the transversal is greater than 180 degrees, the two lines cannot be parallel.
  • Step 6: Since 200 degrees is greater than 180 degrees, we conclude that the two lines must intersect.
  • Transversal and Interior Angles – Understanding the relationship between angles formed when a transversal intersects two lines.
  • Parallel Lines – Recognizing that if the sum of the interior angles on the same side of the transversal is less than 180 degrees, the lines are parallel.
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