What is the relationship between the exterior angle and the interior angle on th
Practice Questions
Q1
What is the relationship between the exterior angle and the interior angle on the same side of a transversal intersecting two parallel lines?
They are equal.
They are complementary.
They are supplementary.
They are not related.
Questions & Step-by-Step Solutions
What is the relationship between the exterior angle and the interior angle on the same side of a transversal intersecting two parallel lines?
Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify the two parallel lines that the transversal intersects.
Step 3: Locate the interior angle formed between one of the parallel lines and the transversal.
Step 4: Identify the exterior angle, which is formed outside the parallel lines and on the same side of the transversal as the interior angle.
Step 5: Recall the Exterior Angle Theorem, which states that the exterior angle and the interior angle on the same side of the transversal add up to 180 degrees.
Step 6: Conclude that the exterior angle is supplementary to the interior angle, meaning they together equal 180 degrees.
