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What is the relationship between the sum of the interior angles of a triangle an

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Question: What is the relationship between the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines? (2022)

Options:

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

Correct Answer: They are supplementary

Exam Year: 2022

Solution: 

The sum of the interior angles of a triangle is 180 degrees, and the angles formed by a transversal cutting through two parallel lines are supplementary, meaning they add up to 180 degrees.

What is the relationship between the sum of the interior angles of a triangle an

Practice Questions

Q1
What is the relationship between the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines? (2022)
  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are unrelated

Questions & Step-by-Step Solutions

What is the relationship between the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines? (2022)
  • Step 1: Understand that a triangle has three angles.
  • Step 2: Learn that the sum of these three angles in any triangle is always 180 degrees.
  • Step 3: Know what a transversal is: it's a line that crosses two other lines.
  • Step 4: When a transversal cuts through two parallel lines, it creates several angles.
  • Step 5: Some of these angles are called 'corresponding angles' and 'alternate interior angles'.
  • Step 6: The angles on the same side of the transversal that are between the two parallel lines are called 'consecutive interior angles'.
  • Step 7: These consecutive interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 8: Therefore, both the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines equal 180 degrees.
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