If two parallel lines are cut by a transversal and one of the corresponding angl
Practice Questions
Q1
If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?
30 degrees
150 degrees
90 degrees
60 degrees
Questions & Step-by-Step Solutions
If two parallel lines are cut by a transversal and one of the corresponding angles is 30 degrees, what is the measure of the other corresponding angle?
Step 1: Identify the two parallel lines and the transversal that cuts across them.
Step 2: Recognize that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
Step 3: Note that if one corresponding angle is given as 30 degrees, the other corresponding angle must be in the same position on the other parallel line.
Step 4: Understand the property of corresponding angles: when two parallel lines are cut by a transversal, corresponding angles are equal.
Step 5: Conclude that since one corresponding angle is 30 degrees, the other corresponding angle is also 30 degrees.
