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A transversal intersects two lines such that one of the interior angles is 120 d

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Question: A transversal intersects two lines such that one of the interior angles is 120 degrees. What is the measure of the exterior angle at that intersection?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 60 degrees

Solution: 

The exterior angle is supplementary to the interior angle. Therefore, the exterior angle = 180 - 120 = 60 degrees.

A transversal intersects two lines such that one of the interior angles is 120 d

Practice Questions

Q1
A transversal intersects two lines such that one of the interior angles is 120 degrees. What is the measure of the exterior angle at that intersection?
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

A transversal intersects two lines such that one of the interior angles is 120 degrees. What is the measure of the exterior angle at that intersection?
  • Step 1: Identify the interior angle given in the problem, which is 120 degrees.
  • Step 2: Understand that an exterior angle is formed at the same intersection as the interior angle.
  • Step 3: Remember that the interior angle and the exterior angle are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the exterior angle, subtract the interior angle from 180 degrees: 180 - 120.
  • Step 5: Calculate the result: 180 - 120 = 60 degrees.
  • Step 6: Conclude that the measure of the exterior angle at that intersection is 60 degrees.
  • Transversal and Angle Relationships – Understanding how interior and exterior angles relate when a transversal intersects two lines.
  • Supplementary Angles – Recognizing that the sum of the measures of supplementary angles is 180 degrees.
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