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If two parallel lines are intersected by a transversal and one of the interior a

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Question: If two parallel lines are intersected by a transversal and one of the interior angles measures 70 degrees, what is the measure of the other interior angle on the same side of the transversal?

Options:

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

Correct Answer: 110 degrees

Solution: 

Interior angles on the same side of the transversal are supplementary, so 180 - 70 = 110 degrees.

If two parallel lines are intersected by a transversal and one of the interior a

Practice Questions

Q1
If two parallel lines are intersected by a transversal and one of the interior angles measures 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
  1. 70 degrees
  2. 110 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are intersected by a transversal and one of the interior angles measures 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Note that one of the interior angles on the same side of the transversal measures 70 degrees.
  • Step 3: Understand that interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the measure of the other interior angle, subtract the known angle from 180 degrees: 180 - 70.
  • Step 5: Calculate the result: 180 - 70 = 110 degrees.
  • Step 6: Conclude that the measure of the other interior angle on the same side of the transversal is 110 degrees.
  • Interior Angles and Transversals – When two parallel lines are intersected by a transversal, the interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
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