When two straight lines (or line segments) intersect, we get pairs of vertically opposite angles, angles which are opposite each other, with a common vertex.
Vertically opposite angles are equal
Line AB intersects with Line CD.
They meet at vertex E.
Angle AEC (orange) is vertically opposite Angle BED (Green).
Line AB intersects with Line CD.
They meet at vertex E.
Angle AED (pink) is vertically opposite Angle BEC (Red).