In a transversal intersecting two parallel lines, if one of the same-side interi
Practice Questions
Q1
In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 degrees, what is the measure of the other same-side interior angle?
45 degrees
135 degrees
90 degrees
180 degrees
Questions & Step-by-Step Solutions
In a transversal intersecting two parallel lines, if one of the same-side interior angles measures 45 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: If one of the same-side interior angles measures 45 degrees, you can find the other angle by subtracting 45 from 180.
Step 4: Calculate 180 - 45, which equals 135 degrees.
Step 5: Conclude that the measure of the other same-side interior angle is 135 degrees.
