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In a transversal intersecting two parallel lines, if one of the same-side interi

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Question: In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 degrees, what is the measure of the other same-side interior angle?

Options:

  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 135 degrees

Solution: 

Same-side interior angles are supplementary, so 180 - 45 = 135 degrees.

In a transversal intersecting two parallel lines, if one of the same-side interi

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 degrees, what is the measure of the other same-side interior angle?
  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 degrees, what is the measure of the other same-side interior angle?
  • Step 1: Understand that same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines.
  • Step 2: Remember that same-side interior angles are supplementary, which means they add up to 180 degrees.
  • Step 3: If one of the same-side interior angles measures 45 degrees, you can find the other angle by subtracting 45 from 180.
  • Step 4: Calculate 180 - 45, which equals 135 degrees.
  • Step 5: Conclude that the measure of the other same-side interior angle is 135 degrees.
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