If two lines are parallel and the transversal creates an angle of 40 degrees wit
Practice Questions
Q1
If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the same-side interior angle?
40 degrees
140 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the same-side interior angle?
Step 1: Understand that parallel lines do not intersect and are always the same distance apart.
Step 2: Identify the transversal, which is the line that crosses the two parallel lines.
Step 3: Recognize that the angle created by the transversal and one of the parallel lines is given as 40 degrees.
Step 4: Know that same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines.
Step 5: Remember that same-side interior angles are supplementary, meaning they add up to 180 degrees.
Step 6: To find the measure of the same-side interior angle, subtract the given angle from 180 degrees: 180 - 40 = 140 degrees.
Step 7: Conclude that the measure of the same-side interior angle is 140 degrees.
