My Learning Cart
?
Categories
Account

If two lines are parallel and the transversal creates an angle of 40 degrees wit

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

What’s inside this PDF?

Question: If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the same-side interior angle?

Options:

  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 140 degrees

Solution: 

Same-side interior angles are supplementary, so 180 - 40 = 140 degrees.

If two lines are parallel and the transversal creates an angle of 40 degrees wit

Practice Questions

Q1
If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the same-side interior angle?
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the same-side interior angle?
  • Step 1: Understand that parallel lines do not intersect and are always the same distance apart.
  • Step 2: Identify the transversal, which is the line that crosses the two parallel lines.
  • Step 3: Recognize that the angle created by the transversal and one of the parallel lines is given as 40 degrees.
  • Step 4: Know that same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines.
  • Step 5: Remember that same-side interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 6: To find the measure of the same-side interior angle, subtract the given angle from 180 degrees: 180 - 40 = 140 degrees.
  • Step 7: Conclude that the measure of the same-side interior angle is 140 degrees.
  • Parallel Lines and Transversals – When two parallel lines are intersected by a transversal, certain angle relationships are established, including same-side interior angles being supplementary.
  • Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.
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