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If angle 1 and angle 2 are corresponding angles formed by a transversal intersec

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Question: If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, and angle 1 measures 30 degrees, what is the measure of angle 2?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Correct Answer: 30 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, angle 2 also measures 30 degrees.

If angle 1 and angle 2 are corresponding angles formed by a transversal intersec

Practice Questions

Q1
If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, and angle 1 measures 30 degrees, what is the measure of angle 2?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, and angle 1 measures 30 degrees, what is the measure of angle 2?
  • Step 1: Identify that angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines.
  • Step 2: Recall the property of corresponding angles: when two parallel lines are cut by a transversal, corresponding angles are equal.
  • Step 3: Since angle 1 measures 30 degrees, apply the property of corresponding angles.
  • Step 4: Conclude that angle 2 also measures 30 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, the angles that are in the same relative position at each intersection are called corresponding angles and are equal.
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