Definition
In geometry, a pairs of angles is sayid to be vertical is if the angles are formed by two intersecting lines and angles are not adjacen. They all share a vertix. Those angles are conqruent and therefore equal in measure
The video below shows how vertical angles used in the real life
http://www.slideshare.net/hakre/angles-in-real-life-presentation
Vertical Line Theorem
When two straight lines intersect a point, four angles are formad. The nonadjacent angles are called vertical or ooposite angles. Also, each pair of adjacent angles form a straight line and are supplemenaty. Since any pair of vertical angles are supplementary to either of the adjecent angles, the vertical angles are congruent.
Video below shows one of the way the vertical line theorem can be proved
http://www.youtube.com/watch?v=FAYrj0vodok
Interactive web Site - Hands on activities
In order to expore vertical angle relation please use following web site
http://www.mathwarehouse.com/geometry/angle/interactive-vertical-angles.php
Vertical angles - example of solving question
http://www.youtube.com/watch?v=H5je8J9GPPI&feature=related