My Learning Cart
?
Categories
Account

If two parallel lines are cut by a transversal, and one of the alternate interio

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If two parallel lines are cut by a transversal, and one of the alternate interior angles is 45 degrees, what is the measure of the other alternate interior angle? (2020)

Options:

  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 45 degrees

Exam Year: 2020

Solution: 

Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, the other angle is also 45 degrees.

If two parallel lines are cut by a transversal, and one of the alternate interio

Practice Questions

Q1
If two parallel lines are cut by a transversal, and one of the alternate interior angles is 45 degrees, what is the measure of the other alternate interior angle? (2020)
  1. 45 degrees
  2. 135 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 alternate interior angles is 45 degrees, what is the measure of the other alternate interior angle? (2020)
  • Step 1: Identify the two parallel lines and the transversal that cuts through them.
  • Step 2: Understand that alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines.
  • Step 3: Note that if one of the alternate interior angles is given as 45 degrees, we need to find the measure of the other alternate interior angle.
  • Step 4: Remember the property of alternate interior angles: when two parallel lines are cut by a transversal, alternate interior angles are equal.
  • Step 5: Since one alternate interior angle is 45 degrees, the other alternate interior angle must also be 45 degrees.
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the alternate interior angles are equal.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks