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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 measures 35 degrees, what is the measure of the other alternate interior angle?

Options:

  1. 35 degrees
  2. 145 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 35 degrees

Solution: 

Alternate interior angles are equal, so the other angle also measures 35 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 measures 35 degrees, what is the measure of the other alternate interior angle?
  1. 35 degrees
  2. 145 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the alternate interior angles measures 35 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 intersected by a transversal.
  • Step 4: Since one of the alternate interior angles measures 35 degrees, the other alternate interior angle must also measure 35 degrees.
  • Alternate Interior Angles – When a transversal intersects two parallel lines, the pairs of alternate interior angles are equal.
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