same-side interior
angles that are on the same side of the transversal and in between the parallel lines
Same-side interior angles are pairs of angles that are formed on the same side of a transversal, and are between two parallel lines. In other words, if a transversal line intersects two parallel lines, then two angles lying on the same side of the transversal line and between the parallel lines are known as same-side interior angles.
For example, consider two parallel lines AB and CD, intersected by a transversal line EF. If ∠1 and ∠4 are two angles lying on the same side of the transversal line EF, and between the parallel lines AB and CD, then these angles are known as same-side interior angles.
Same-side interior angles are always supplementary, which means that they add up to 180 degrees. Therefore, if x and y are two same-side interior angles, then we can express their relationship mathematically as:
x + y = 180 degrees.
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