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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 measures 55 degrees, what is the measure of the adjacent interior angle?

Options:

  1. 125 degrees
  2. 55 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 125 degrees

Solution: 

Adjacent interior angles are supplementary, so the adjacent angle measures 125 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 measures 55 degrees, what is the measure of the adjacent interior angle?
  1. 125 degrees
  2. 55 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 measures 55 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 inside the parallel lines when the transversal intersects them.
  • Step 3: Recognize that adjacent interior angles are next to each other and share a common side.
  • Step 4: Know that adjacent interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 5: Since one of the interior angles measures 55 degrees, calculate the adjacent angle by subtracting 55 from 180.
  • Step 6: Perform the calculation: 180 - 55 = 125 degrees.
  • Step 7: Conclude that the measure of the adjacent interior angle is 125 degrees.
  • Supplementary Angles – Adjacent interior angles formed by a transversal intersecting parallel lines are supplementary, meaning their measures add up to 180 degrees.
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