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If two parallel lines are cut by a transversal and one of the angles formed is 1

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Question: If two parallel lines are cut by a transversal and one of the angles formed is 110 degrees, what is the measure of the alternate interior angle?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 110 degrees

Solution:

Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, the alternate interior angle also measures 110 degrees.

If two parallel lines are cut by a transversal and one of the angles formed is 1

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the angles formed is 110 degrees, what is the measure of the alternate interior angle?
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the angles formed is 110 degrees, what is the measure of the alternate interior angle?
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the 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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