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In a transversal intersecting two parallel lines, if one of the alternate interi

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Question: In a transversal intersecting two parallel lines, if one of the alternate interior angles is 85 degrees, what is the measure of the other alternate interior angle?

Options:

  1. 95 degrees
  2. 85 degrees
  3. 75 degrees
  4. 180 degrees

Correct Answer: 85 degrees

Solution: 

Alternate interior angles are equal when two parallel lines are cut by a transversal. Thus, the other alternate interior angle also measures 85 degrees.

In a transversal intersecting two parallel lines, if one of the alternate interi

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one of the alternate interior angles is 85 degrees, what is the measure of the other alternate interior angle?
  1. 95 degrees
  2. 85 degrees
  3. 75 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the alternate interior angles is 85 degrees, what is the measure of the other alternate interior angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate the alternate interior angles formed by the transversal and the parallel lines.
  • Step 3: Note that alternate interior angles are equal when two parallel lines are cut by a transversal.
  • Step 4: Since one of the alternate interior angles is given as 85 degrees, the other alternate interior angle must also be 85 degrees.
  • Alternate Interior Angles – When two parallel lines are intersected by a transversal, the pairs of alternate interior angles are equal.
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