If two parallel lines are cut by a transversal and one of the same-side exterior
Practice Questions
Q1
If two parallel lines are cut by a transversal and one of the same-side exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?
70 degrees
110 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 exterior angles is 110 degrees, what is the measure of the other same-side exterior angle?
Step 1: Understand that we have two parallel lines and a transversal cutting through them.
Step 2: Identify that same-side exterior angles are the angles that are on the same side of the transversal and outside the parallel lines.
Step 3: Recall that same-side exterior angles are supplementary, which means they add up to 180 degrees.
Step 4: Since one of the same-side exterior angles is given as 110 degrees, we can find the other angle by using the supplementary property.
Step 5: Calculate the other angle by subtracting the given angle from 180 degrees: 180 - 110 = 70 degrees.
Step 6: Conclude that the measure of the other same-side exterior angle is 70 degrees.
