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If two parallel lines are cut by a transversal and one of the same-side exterior

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Question: If two parallel lines are cut by a transversal and one of the same-side exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 70 degrees

Solution: 

Same-side exterior angles are supplementary when two parallel lines are cut by a transversal. Therefore, the other angle measures 180 - 110 = 70 degrees.

If two parallel lines are cut by a transversal and one of the same-side exterior

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the same-side exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?
  1. 70 degrees
  2. 110 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 same-side exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?
  • Step 1: Understand that we have two parallel lines and a transversal cutting through them.
  • Step 2: Identify that same-side exterior angles are the angles that are on the same side of the transversal and outside the parallel lines.
  • Step 3: Recall that same-side exterior angles are supplementary, which means they add up to 180 degrees.
  • Step 4: Since one of the same-side exterior angles is given as 110 degrees, we can find the other angle by using the supplementary property.
  • Step 5: Calculate the other angle by subtracting the given angle from 180 degrees: 180 - 110 = 70 degrees.
  • Step 6: Conclude that the measure of the other same-side exterior angle is 70 degrees.
  • Same-Side Exterior Angles – When two parallel lines are cut by a transversal, same-side exterior angles are formed, and they are supplementary, meaning their measures add up to 180 degrees.
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