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In a pair of parallel lines cut by a transversal, if one of the interior angles

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Question: In a pair of parallel lines cut by a transversal, if one of the interior angles is 40 degrees, what is the measure of the adjacent interior angle?

Options:

  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 140 degrees

Solution: 

Adjacent interior angles are supplementary, so the adjacent angle measures 140 degrees.

In a pair of parallel lines cut by a transversal, if one of the interior angles

Practice Questions

Q1
In a pair of parallel lines cut by a transversal, if one of the interior angles is 40 degrees, what is the measure of the adjacent interior angle?
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In a pair of parallel lines cut by a transversal, if one of the interior angles is 40 degrees, what is the measure of the adjacent interior angle?
  • Step 1: Understand that parallel lines cut by a transversal create pairs of angles.
  • Step 2: Identify that interior angles on the same side of the transversal are called adjacent interior angles.
  • Step 3: Remember that adjacent interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 4: Since one angle is 40 degrees, you can find the adjacent angle by subtracting 40 from 180.
  • Step 5: Calculate 180 - 40 = 140 degrees.
  • Step 6: Conclude that the measure of the adjacent interior angle is 140 degrees.
  • Supplementary Angles – Adjacent interior angles formed by a transversal cutting parallel lines are supplementary, meaning their measures add up to 180 degrees.
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