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If two lines are parallel and the transversal creates an angle of 30 degrees wit

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Question: If two lines are parallel and the transversal creates an angle of 30 degrees with one of the lines, what is the measure of the alternate interior angle?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 150 degrees
  4. 180 degrees

Correct Answer: 30 degrees

Solution:

Alternate interior angles are equal, so the alternate interior angle is also 30 degrees.

If two lines are parallel and the transversal creates an angle of 30 degrees wit

Practice Questions

Q1
If two lines are parallel and the transversal creates an angle of 30 degrees with one of the lines, what is the measure of the alternate interior angle?
  1. 30 degrees
  2. 60 degrees
  3. 150 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the transversal creates an angle of 30 degrees with one of the lines, what is the measure of the alternate interior angle?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Identify the transversal, which is a line that crosses the two parallel lines.
  • Step 3: Recognize that when the transversal crosses the parallel lines, it creates angles.
  • Step 4: Note that one of the angles formed is 30 degrees.
  • Step 5: Learn about alternate interior angles, which are the angles that are on opposite sides of the transversal and inside the parallel lines.
  • Step 6: Remember that alternate interior angles are equal when two lines are parallel.
  • Step 7: Since one angle is 30 degrees, the alternate interior angle is also 30 degrees.
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal.
  • Transversal – A transversal is a line that intersects two or more lines at distinct points.
  • Parallel Lines – Parallel lines are lines in a plane that do not meet; they are always the same distance apart.
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