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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 30 degrees, what is the measure of the exterior angle adjacent to it?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Correct Answer: 150 degrees

Solution: 

The exterior angle is supplementary to the interior angle, so 180 - 30 = 150 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 30 degrees, what is the measure of the exterior angle adjacent to it?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the interior angles is 30 degrees, what is the measure of the exterior angle adjacent to it?
  • 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 30 degrees.
  • Step 3: Know that an exterior angle is adjacent to the interior angle and they form a straight line together.
  • Step 4: Remember that angles on a straight line add up to 180 degrees.
  • Step 5: To find the measure of the exterior angle, subtract the interior angle from 180 degrees: 180 - 30.
  • Step 6: Calculate the result: 180 - 30 = 150 degrees.
  • Step 7: Conclude that the measure of the exterior angle is 150 degrees.
  • Transversal and Parallel Lines – Understanding the relationship between interior and exterior angles formed by a transversal intersecting parallel lines.
  • Supplementary Angles – Recognizing that interior and adjacent exterior angles are supplementary, meaning they add up to 180 degrees.
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