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In a transversal intersecting two parallel lines, if one of the interior angles

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Question: In a transversal intersecting two parallel lines, if one of the interior angles is 40 degrees, what is the measure of the corresponding exterior angle?

Options:

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

Correct Answer: 140 degrees

Solution: 

The corresponding exterior angle is supplementary to the interior angle. Therefore, it measures 180 - 40 = 140 degrees.

In a transversal intersecting two parallel lines, if one of the interior angles

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one of the interior angles is 40 degrees, what is the measure of the corresponding exterior angle?
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the interior angles is 40 degrees, what is the measure of the corresponding exterior angle?
  • Step 1: Understand that a transversal is a line that crosses two parallel lines.
  • Step 2: Identify the interior angle given in the question, which is 40 degrees.
  • Step 3: Recall that interior and exterior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the corresponding exterior angle, subtract the interior angle from 180 degrees: 180 - 40.
  • Step 5: Calculate the result: 180 - 40 = 140 degrees.
  • Step 6: Conclude that the measure of the corresponding exterior angle is 140 degrees.
  • Transversal and Parallel Lines – Understanding the relationship between angles formed when a transversal intersects parallel lines, including corresponding, interior, and exterior angles.
  • Supplementary Angles – Recognizing that interior and corresponding exterior angles are supplementary, meaning they add up to 180 degrees.
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