My Learning Cart
?
Categories
Account

If angle 1 and angle 2 are alternate interior angles formed by a transversal int

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

What’s inside this PDF?

Question: If angle 1 and angle 2 are alternate interior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?

Options:

  1. Angle 1 is greater than angle 2.
  2. Angle 1 is less than angle 2.
  3. Angle 1 is equal to angle 2.
  4. They cannot be compared.

Correct Answer: Angle 1 is equal to angle 2.

Solution: 

By the Alternate Interior Angles Theorem, alternate interior angles are equal when two parallel lines are cut by a transversal.

If angle 1 and angle 2 are alternate interior angles formed by a transversal int

Practice Questions

Q1
If angle 1 and angle 2 are alternate interior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
  1. Angle 1 is greater than angle 2.
  2. Angle 1 is less than angle 2.
  3. Angle 1 is equal to angle 2.
  4. They cannot be compared.

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are alternate interior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
  • Step 1: Identify the two parallel lines. Let's call them Line A and Line B.
  • Step 2: Identify the transversal line that intersects both Line A and Line B. Let's call it Line T.
  • Step 3: Locate angle 1 and angle 2. Angle 1 is on one side of Line T and between Line A and Line B, while angle 2 is on the opposite side of Line T and also between Line A and Line B.
  • Step 4: Recognize that angle 1 and angle 2 are called alternate interior angles because they are on opposite sides of the transversal and inside the two parallel lines.
  • Step 5: Apply the Alternate Interior Angles Theorem, which states that if two parallel lines are cut by a transversal, then the alternate interior angles are equal.
  • Step 6: Conclude that the measure of angle 1 is equal to the measure of angle 2.
  • Alternate Interior Angles Theorem – This theorem states that when two parallel lines are intersected 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