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If angle 1 and angle 2 are alternate exterior angles formed by a transversal int

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Question: If angle 1 and angle 2 are alternate exterior angles formed by a transversal intersecting two parallel lines, what is true about their measures?

Options:

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

Correct Answer: They are equal.

Solution: 

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

If angle 1 and angle 2 are alternate exterior angles formed by a transversal int

Practice Questions

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

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are alternate exterior angles formed by a transversal intersecting two parallel lines, what is true about their measures?
  • Step 1: Identify the two parallel lines. Let's call them Line A and Line B.
  • Step 2: Identify the transversal line that intersects both Line A and Line B. Let's call it Line T.
  • Step 3: Locate angle 1 and angle 2. Angle 1 is on one side of Line T and outside of Line A, while angle 2 is on the opposite side of Line T and outside of Line B.
  • Step 4: Understand that alternate exterior angles are formed when a transversal crosses two parallel lines.
  • Step 5: Remember the property of alternate exterior angles: when two parallel lines are cut by a transversal, the alternate exterior angles are equal.
  • Step 6: Conclude that the measure of angle 1 is equal to the measure of angle 2.
  • Alternate Exterior Angles – When two parallel lines are intersected by a transversal, the alternate exterior angles formed are equal in measure.
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