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If two lines are parallel and a transversal creates angles of 75 degrees and x d

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Question: If two lines are parallel and a transversal creates angles of 75 degrees and x degrees, what is the value of x if they are alternate interior angles?

Options:

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

Correct Answer: 75 degrees

Solution: 

Alternate interior angles are equal, so x is 75 degrees.

If two lines are parallel and a transversal creates angles of 75 degrees and x d

Practice Questions

Q1
If two lines are parallel and a transversal creates angles of 75 degrees and x degrees, what is the value of x if they are alternate interior angles?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal creates angles of 75 degrees and x degrees, what is the value of x if they are alternate interior angles?
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal.
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