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)
They are equal
They are supplementary
They are complementary
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.
