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If angle A and angle B are alternate exterior angles formed by a transversal int

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Question: If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be concluded about their measures?

Options:

  1. They are equal.
  2. They are complementary.
  3. They are supplementary.
  4. They are not related.

Correct Answer: They are equal.

Solution: 

By the Alternate Exterior Angles Theorem, alternate exterior angles are equal when formed by a transversal intersecting two parallel lines.

If angle A and angle B are alternate exterior angles formed by a transversal int

Practice Questions

Q1
If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be concluded about their measures?
  1. They are equal.
  2. They are complementary.
  3. They are supplementary.
  4. They are not related.

Questions & Step-by-Step Solutions

If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be concluded about their measures?
  • Step 1: Identify the two parallel lines. Let's call them Line 1 and Line 2.
  • Step 2: Identify the transversal line that intersects both Line 1 and Line 2.
  • Step 3: Locate angle A and angle B. These angles are formed on opposite sides of the transversal and outside the two parallel lines.
  • Step 4: Recognize that angle A and angle B are called alternate exterior angles.
  • Step 5: Apply the Alternate Exterior Angles Theorem, which states that if two parallel lines are cut by a transversal, then the alternate exterior angles are equal.
  • Step 6: Conclude that the measure of angle A is equal to the measure of angle B.
  • Alternate Exterior Angles Theorem – This theorem states that when a transversal intersects two parallel lines, the alternate exterior angles formed are equal.
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