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If angle 5 is 60 degrees and it is an exterior angle formed by a transversal wit

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Question: If angle 5 is 60 degrees and it is an exterior angle formed by a transversal with two parallel lines, what is the measure of the corresponding interior angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 120 degrees

Solution: 

The corresponding interior angle is supplementary to the exterior angle, so it measures 180 - 60 = 120 degrees.

If angle 5 is 60 degrees and it is an exterior angle formed by a transversal wit

Practice Questions

Q1
If angle 5 is 60 degrees and it is an exterior angle formed by a transversal with two parallel lines, what is the measure of the corresponding interior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle 5 is 60 degrees and it is an exterior angle formed by a transversal with two parallel lines, what is the measure of the corresponding interior angle?
  • Step 1: Understand that angle 5 is an exterior angle formed by a transversal with two parallel lines.
  • Step 2: Know that exterior angles and their corresponding interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 3: Since angle 5 measures 60 degrees, we can find the corresponding interior angle by subtracting 60 from 180.
  • Step 4: Calculate 180 - 60, which equals 120 degrees.
  • Step 5: Conclude that the measure of the corresponding interior angle is 120 degrees.
  • Exterior and Interior Angles – Understanding the relationship between exterior angles formed by a transversal and parallel lines, specifically that they are supplementary.
  • Supplementary Angles – Recognizing that two angles are supplementary if their measures add up to 180 degrees.
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