Honors Geometry Companion Book, Volume 1

1.1.4 Pairs of Angles (continued) Example 5 Identifying Vertical Angles

When two lines intersect, four angles are formed where the point of intersection is the vertex for all four angles. The angles that are opposite from one another are called vertical angles. Vertical angles have a common vertex, but no common sides. In this figure there are three lines. Two of these lines intersect the third line, creating two points of intersection. So, there are four pairs of vertical angles in this figure.

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