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If angle 4 is 110 degrees and is an exterior angle formed by a transversal inter

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Question: If angle 4 is 110 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. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 70 degrees

Solution: 

The corresponding interior angle is supplementary to the exterior angle, so 180 - 110 = 70 degrees.

If angle 4 is 110 degrees and is an exterior angle formed by a transversal inter

Practice Questions

Q1
If angle 4 is 110 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle 4 is 110 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 4 is an exterior angle formed by a transversal intersecting two parallel lines.
  • Step 2: Know that an exterior angle and its corresponding interior angle are supplementary, meaning they add up to 180 degrees.
  • Step 3: Since angle 4 is 110 degrees, we can find the corresponding interior angle by subtracting angle 4 from 180 degrees.
  • Step 4: Calculate 180 - 110 to find the measure of the corresponding interior angle.
  • Step 5: The result is 70 degrees, which is the measure of the corresponding interior angle.
  • Exterior and Interior Angles – Understanding the relationship between exterior angles formed by a transversal and corresponding interior angles when intersecting parallel lines.
  • Supplementary Angles – Recognizing that the sum of an exterior angle and its corresponding interior angle is always 180 degrees.
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