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If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of

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Question: If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of angle 4, which is an alternate interior angle?

Options:

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

Correct Answer: 110 degrees

Solution: 

Alternate interior angles are equal, so angle 4 also measures 110 degrees.

If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of

Practice Questions

Q1
If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of angle 4, which is an alternate interior angle?
  1. 70 degrees
  2. 110 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle 3 is 110 degrees and lines m and n are parallel, what is the measure of angle 4, which is an alternate interior angle?
  • Step 1: Identify that angle 3 is given as 110 degrees.
  • Step 2: Recognize that lines m and n are parallel.
  • Step 3: Understand the concept of alternate interior angles, which states that when two parallel lines are crossed by a transversal, the alternate interior angles are equal.
  • Step 4: Since angle 3 is 110 degrees, angle 4, which is an alternate interior angle, must also be 110 degrees.
  • Step 5: Conclude that the measure of angle 4 is 110 degrees.
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal.
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