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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 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 is also 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 is 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 is 35 degrees, what is the measure of the other alternate interior angle?
  • Step 1: Understand what alternate interior angles are. They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
  • Step 2: Recognize that when two parallel lines are cut by a transversal, the alternate interior angles are equal.
  • Step 3: Since one of the alternate interior angles is given as 35 degrees, we can use the property of alternate interior angles.
  • Step 4: Conclude that the other alternate interior angle must also be 35 degrees because they are equal.
  • Alternate Interior Angles – When a transversal intersects two parallel lines, the pairs of alternate interior angles are equal.
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