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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 75 degrees, what is the measure of the adjacent interior angle?

Options:

  1. 105 degrees
  2. 75 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 105 degrees

Solution: 

Adjacent interior angles are supplementary, so the adjacent angle measures 105 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 75 degrees, what is the measure of the adjacent interior angle?
  1. 105 degrees
  2. 75 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 75 degrees, what is the measure of the adjacent interior angle?
  • Step 1: Understand that a transversal is a line that crosses two parallel lines.
  • Step 2: Identify that interior angles are the angles formed between the two parallel lines and the transversal.
  • Step 3: Recognize that adjacent interior angles (the angles next to each other) are supplementary, meaning they add up to 180 degrees.
  • Step 4: Since one of the interior angles is given as 75 degrees, we can find the adjacent angle by subtracting 75 from 180.
  • Step 5: Calculate 180 degrees - 75 degrees = 105 degrees.
  • Step 6: Conclude that the measure of the adjacent interior angle is 105 degrees.
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