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If two parallel lines are cut by a transversal, what is the relationship between

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Question: If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles? (2020)

Options:

  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are unequal

Correct Answer: They are equal

Exam Year: 2020

Solution:

When two parallel lines are cut by a transversal, the alternate interior angles are equal.

If two parallel lines are cut by a transversal, what is the relationship between

Practice Questions

Q1
If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles? (2020)
  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are unequal

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles? (2020)
  • Step 1: Identify the two parallel lines. Let's call them Line A and Line B.
  • Step 2: Identify the transversal line that crosses both Line A and Line B. Let's call it Line T.
  • Step 3: Look at the angles formed by the intersection of Line T with Line A and Line B.
  • Step 4: Find the alternate interior angles. These are the angles that are on opposite sides of Line T and inside the space between Line A and Line B.
  • Step 5: Observe that these alternate interior angles are equal in measure.
  • Alternate Interior Angles – When two parallel lines are intersected by a transversal, the angles that lie on opposite sides of the transversal and inside the parallel lines are called alternate interior angles, and they are equal.
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