If two parallel lines are cut by a transversal and one of the same-side interior
Practice Questions
Q1
If two parallel lines are cut by a transversal and one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
75 degrees
105 degrees
90 degrees
180 degrees
Questions & Step-by-Step Solutions
If two parallel lines are cut by a transversal and one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
Step 1: Understand that same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines.
Step 2: Remember that same-side interior angles are supplementary, which means they add up to 180 degrees.
Step 3: You are given one angle that measures 75 degrees.
Step 4: To find the other angle, subtract the given angle from 180 degrees: 180 - 75.
Step 5: Calculate 180 - 75, which equals 105 degrees.
Step 6: Therefore, the measure of the other same-side interior angle is 105 degrees.
