In a transversal intersecting two parallel lines, if one of the interior angles
Practice Questions
Q1
In a transversal intersecting two parallel lines, if one of the interior angles measures 75 degrees, what is the measure of the adjacent interior angle?
75 degrees
105 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
In a transversal intersecting two parallel lines, if one of the interior angles measures 75 degrees, what is the measure of the adjacent interior angle?
Step 1: Understand that a transversal is a line that crosses two parallel lines.
Step 2: Identify that when a transversal intersects parallel lines, it creates pairs of interior angles.
Step 3: Recognize that adjacent interior angles (angles next to each other) are supplementary, meaning they add up to 180 degrees.
Step 4: If one of the interior angles measures 75 degrees, write down this measurement.
Step 5: To find the measure of the adjacent interior angle, subtract the known angle from 180 degrees: 180 - 75.