My Learning Cart
?
Categories
Account

In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees

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

What’s inside this PDF?

Question: In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Correct Answer: 30 degrees

Solution: 

Alternate interior angles are equal, so angle 4 = 30 degrees.

In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees

Practice Questions

Q1
In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?
  • Step 1: Identify the two parallel lines in the diagram.
  • Step 2: Identify the transversal line that crosses the two parallel lines.
  • Step 3: Locate angle 3, which is given as 30 degrees.
  • Step 4: Understand that alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines.
  • Step 5: Identify angle 4, which is the alternate interior angle to angle 3.
  • Step 6: Since alternate interior angles are equal, conclude that angle 4 is also 30 degrees.
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the pairs of 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