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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 45 degrees, what is the measure of the corresponding angle?

Options:

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

Correct Answer: 45 degrees

Solution: 

The corresponding angle is equal to the interior angle, so it measures 45 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 45 degrees, what is the measure of the corresponding 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 interior angles measures 45 degrees, what is the measure of the corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate the interior angle that measures 45 degrees.
  • Step 3: Understand that corresponding angles are equal when a transversal intersects parallel lines.
  • Step 4: Conclude that the corresponding angle to the 45-degree interior angle also measures 45 degrees.
  • Corresponding Angles – When a transversal intersects two parallel lines, corresponding angles are equal.
  • Interior Angles – Interior angles are formed on the inside of the parallel lines when intersected by a transversal.
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