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If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, w

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Question: If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, what is the measure of angle 2?

Options:

  1. 55°
  2. 125°
  3. 90°
  4. 45°

Correct Answer: 55°

Solution:

Alternate interior angles are equal, so angle 2 also measures 55°.

If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, w

Practice Questions

Q1
If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, what is the measure of angle 2?
  1. 55°
  2. 125°
  3. 90°
  4. 45°

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, what is the measure of angle 2?
  • Step 1: Identify that angle 1 and angle 2 are alternate interior angles. This means they are on opposite sides of a transversal line and inside two parallel lines.
  • Step 2: Recall the property of alternate interior angles: they are equal in measure.
  • Step 3: Since angle 1 measures 55°, we can conclude that angle 2 also measures 55°.
  • Alternate Interior Angles – When two parallel lines are crossed by a transversal, the pairs of alternate interior angles are equal.
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