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 40 degrees, what is the measure of the other same-side interior angle?
40 degrees
140 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
If two parallel lines are cut by a transversal and one of the same-side interior angles is 40 degrees, what is the measure of the other same-side interior angle?
Step 1: Understand that we have two parallel lines and a transversal cutting through them.
Step 2: Identify the same-side interior angles formed by the transversal and the parallel lines.
Step 3: Recall that same-side interior angles are supplementary, which means they add up to 180 degrees.
Step 4: Since one of the same-side interior angles is given as 40 degrees, we can find the other angle.
Step 5: Use the formula for supplementary angles: 180 degrees - 40 degrees.
Step 6: Calculate the other angle: 180 - 40 = 140 degrees.
Step 7: Conclude that the measure of the other same-side interior angle is 140 degrees.
