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If angle 3 is 50 degrees and is an exterior angle formed by a transversal inters

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Question: If angle 3 is 50 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 130 degrees

Solution:

The corresponding interior angle is supplementary to the exterior angle, so it measures 130 degrees.

If angle 3 is 50 degrees and is an exterior angle formed by a transversal inters

Practice Questions

Q1
If angle 3 is 50 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle 3 is 50 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
  • Step 1: Understand that angle 3 is an exterior angle formed by a transversal intersecting two parallel lines.
  • Step 2: Recall that an exterior angle and its corresponding interior angle are supplementary, meaning they add up to 180 degrees.
  • Step 3: Since angle 3 measures 50 degrees, we can find the corresponding interior angle by subtracting 50 from 180.
  • Step 4: Calculate 180 - 50 = 130 degrees.
  • Step 5: Conclude that the measure of the corresponding interior angle is 130 degrees.
  • Exterior and Interior Angles – Understanding the relationship between exterior angles formed by a transversal and corresponding interior angles in parallel lines.
  • Supplementary Angles – Recognizing that an exterior angle and its corresponding interior angle are supplementary, meaning they add up to 180 degrees.
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