A transversal intersects two parallel lines creating a pair of corresponding ang
Practice Questions
Q1
A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the angles measures 60 degrees, what is the measure of the corresponding angle? (2019)
60 degrees
120 degrees
90 degrees
30 degrees
Questions & Step-by-Step Solutions
A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the angles measures 60 degrees, what is the measure of the corresponding angle? (2019)
Step 1: Identify the two parallel lines that are being intersected by the transversal.
Step 2: Recognize that corresponding angles are formed when a transversal crosses parallel lines.
Step 3: Understand that corresponding angles are equal in measure.
Step 4: Since one of the corresponding angles measures 60 degrees, the other corresponding angle must also measure 60 degrees.
Step 5: Conclude that the measure of the corresponding angle is 60 degrees.
Corresponding Angles – When a transversal intersects two parallel lines, the angles in matching corners (corresponding angles) are equal.