# What are the different Pairs of Angle

Which are the different angle pairs?

If a crossbeam intersects with two parallel lines, eight angles result. A transversal in geometry is a line that runs through two lines in the same plane at two different points. The transversals play a role in determining whether two further lines are parallel in the Euclidean plane. With additional angles, the angles do not have to be next to each other. You can compare different pairs of alternative inner angles.

Angle on the same side of the transverse axis

Corners on the same side of the transverse are corners located in one of the half-planes of the transverse. Normally, this concept is associated with inside or outside angle to designate "inside angle on the same side of the transverse" and "outside angle on the same side of the transverse".

LINE 1 is a transverse of LINE 2 and LINE 3 in each figure below. In each figure below, the following angle values are inside angle values on the same side of the transverse: In each figure below, LINE 1 is a transverse of LINE 2 and LINE 3. In each figure below, the following angle values are outside angle values on the same side of the transverse:

If a crossbeam crosses two straight line segments, the two straight line segments are mutually perpendicular, if and only if the inside angle on the same side of the crossbeam and the outside angle on the same side of the crossbeam are additional (sum to 180°). Figure 1 of the above example shows LINE 1 and LINE 2 running simultaneously and both inside and outside corners on the same side of the transverse axis are complementary.

LINE 1 and LINE 2 are NOT paralell and both inner and outer angle on the same side of the transverse are NOT complementary.

## Fundamental Geometry Parallel Lines & Transals

Transverse is a line or line section that cuts two or more other line or line sections. If a crossbeam crosses straight line, many corners are coincident. Let's take a look at what that means. The line segments k and y are double. The line segmentl is a transverse. In this case, as already stated, we get a bundle of pairs of matching corners.

Keep in mind that these angels are only matched if the two transverse crossings are perpendicular. Those couples have skilled words that suit them. Other pairs of corners in a transverse are not matching, but they complement each other, like gelatine groundnut butters. They are pairs of additional corners, i.e. they sum up to 180°, and they have their own peach-coloured name.

Here, too, these angle pairs are only complementary if the two transverse crossing line are running simultaneously. Attention: These angle pairs are only matching or complementary if the transverse intersects straight line.