same-side interior
angles that are on the same side of the transversal and in between the parallel lines
Same-side interior angles are angles that are on the same side of a transversal line and inside the parallel lines. When two parallel lines are intersected by a transversal line, four pairs of same-side interior angles are formed. These angles have a special relationship, namely, they are supplementary, meaning that when added together, they sum up to 180 degrees.
Let’s consider an example to better understand same-side interior angles. In the figure below, lines m and n are parallel, while line p cuts through them as a transversal.
Angle x and angle y are on the same side of the transversal and inside the two parallel lines. Therefore, they are same-side interior angles.
In this case, if angle x measures 65 degrees, then angle y will measure 180 – 65 = 115 degrees, since they are supplementary.
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