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In a diagram where two parallel lines are intersected by a transversal, if one o

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Question: In a diagram where two parallel lines are intersected by a transversal, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?

Options:

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

Correct Answer: 75 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 75 degrees.

In a diagram where two parallel lines are intersected by a transversal, if one o

Practice Questions

Q1
In a diagram where two parallel lines are intersected by a transversal, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a diagram where two parallel lines are intersected by a transversal, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate the corresponding angle that measures 75 degrees.
  • Step 3: Recall the property of corresponding angles: when two parallel lines are cut by a transversal, corresponding angles are equal.
  • Step 4: Since one corresponding angle measures 75 degrees, the other corresponding angle must also measure 75 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, corresponding angles are equal.
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