Vertical Pair

The vertical angles in the geometry: Definitions & Examples - Video & Lesson Transcript

At the end of this tutorial, you will be able to pinpoint and sketch vertical angle. It is also possible to specify the characteristics of the vertical angle. A vertical angle is a pair of non-adjacent corners that form when two vertical axes cross. Therefore, they have made a pair of vertical brackets called 1 and 2.

This is a pair of vertical corners that have been built in the wild and that are more terrestial. When drawing a pair of crossing line, we have drawn two sets of vertical angle pair. Here the AOC and BOD angle are a pair of vertical angle. The AOB and COD brackets are also a pair of vertical brackets.

Note that vertical angels are never neighboring angels. Thus, for example, the angle AOC and AOB are not two vertical angle, but neighbouring angle. Vertical angle, however, always have a shared peak. Here, each pair of vertical brackets shares the apex O. Let's look at some more vertical brackets.

The line crosses two intersecting points, a and b. Vertical angels are created at each point of cross. Vertical angular couples are as follows: One of the main characteristics of vertical brackets is that they are matched. So in other words, they have the same square. Here, if we append the angular dimensions, we will see that vertical angels are matched.

First, a pair of straight squares is a pair of neighboring squares. Furthermore, angels constituting a pair are complementary, so that their total is always 180º. Line widths w and n cross and make angle 1, 2, 3 and 4 (indicated). Edges 1 and 2 are a pair of straight line, therefore they are complementary (definition of the pair of straight line).

1 + 2 = 180 degree (definition of additional angles). Edges 2 and 3 are a straight pair, so they are complementary (definition of straight pair). 2 + 3 = 180 degree (definition of additional angles). 1 + 2 = 2 + 3 (substitution; see 3 and 5).

Elbow 1 = Elbow 3 (subtract Elbow 2 from the formula in 6).