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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, what can be said about their measures?

Options:

  1. Angle 1 is greater than angle 2.
  2. Angle 1 is less than angle 2.
  3. Angle 1 is equal to angle 2.
  4. Angle 1 and angle 2 are complementary.

Correct Answer: Angle 1 is equal to angle 2.

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal.

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, what can be said about their measures?
  1. Angle 1 is greater than angle 2.
  2. Angle 1 is less than angle 2.
  3. Angle 1 is equal to angle 2.
  4. Angle 1 and angle 2 are complementary.

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
  • Step 1: Identify the two parallel lines. These are the lines that will not intersect each other.
  • Step 2: Identify the transversal. This is the line that crosses the two parallel lines.
  • Step 3: Locate angle 1 and angle 2. These angles are formed where the transversal intersects the parallel lines.
  • Step 4: Determine if angle 1 and angle 2 are corresponding angles. Corresponding angles are in the same position relative to the parallel lines and the transversal.
  • Step 5: Conclude that if angle 1 and angle 2 are corresponding angles, then their measures are equal.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles that are in the same relative position at each intersection are called corresponding angles, and they are equal in measure.
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