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What is the measure of angle x if two parallel lines are cut by a transversal an

Practice Questions

Q1
What is the measure of angle x if two parallel lines are cut by a transversal and one of the corresponding angles is 75 degrees?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

What is the measure of angle x if two parallel lines are cut by a transversal and one of the corresponding angles is 75 degrees?
  • Step 1: Identify the two parallel lines and the transversal that cuts through them.
  • Step 2: Locate the corresponding angle that is given as 75 degrees.
  • Step 3: Recall the property of corresponding angles: when two parallel lines are cut by a transversal, the corresponding angles are equal.
  • Step 4: Since the corresponding angle is 75 degrees, angle x, which is also a corresponding angle, must also be 75 degrees.
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