Let us learn more about adjacent angles.

Adjacent Angles

Adjacent angles refer to the two angles which are found to have common side and the common vertex however they do not overlap. The identification of common side and the common vertex can act as a simple way for the identification of adjacent angle. It can be stated that in the event of two angles sharing one side and deriving from same corner point, then they can be stated to be the adjacent angles. The adjacent angles should have both common side and the common vertex and in the event of two angles coming from same corner and having another angle in the middle, it indicates that they do not share any sides.

The angles are found to be formed in the event of two rays meeting at the common endpoint and the adjacent angles are indicative of those angles which are found to be placed next to that of each other. The adjacent angles can be defined as the two angles sharing common vertex and that of same side. It can be stated that on the basis of total value, the two neighbouring angles can be complementary or it can be supplementary.

In the above figure, √ 1 and that of √ 2 can be stated to be the adjacent angles. It has been found that they share same vertex and that they have similar common side.

Examples of adjacent angles

The common real-life example of the adjacent angles can be perceived when the two pizza slices have been placed next to that of each other. Another example can be found in clock that shows hour minute and second hand can help in forming adjacent angles when all the 3 have been away from that of each other. The three adjacent angles can be found within steering wheel of the car.

Properties of adjacent angles

The properties of adjacent angles lie in the fact that they possess the common arm and they have common vertex. It is of great importance that they have to be true in the order so that the angles are the adjacent angles. It is found that they do not overlap and they are found to have non-common arm which are on both sides of common arm. The two adjacent angles can be stated to be supplementary or the complementary on the basis of sum of measures of individual angles. The vertex of angle can be said to be endpoint of rays which helps to form sides of angle.

Difference between Adjacent and Vertical Angles

The difference in between adjacent and the vertical angles lie in the fact that they are indicative of different pairs of the angles. The pair of the adjacent angles which measures up for the formation of straight angle is known as the linear pair and the angles within linear pair can be stated to be supplementary. The pair of the lines intersecting the four angles can be said to be formed. The two lines intersecting can lead to the creation of two pairs of the vertically opposite angles. The disparity in between adjacent angles and the vertical angles lie in the fact that adjacent angles are not equal to be measures whereas the vertically opposite angles can be stated to be equal in terms of measure.

The vertical angles can be said to be formed in the event of two lines meeting each other at the point. They can be stated to be equal towards each other and in the event of two lines crossing or intersecting with each other, there would be the formation of four angles. The two angles which are opposite to that of each other can be stated to be equal and these are known as the vertical angles. They can be referred to as the “vertically opposite angles” which can be stated to lie opposite to that of each other. The identification of difference in between the adjacent angles and the vertical angles can act as a crucial skill for being mastered in the geometry.

The best manner for visualising difference in between two kinds of the angles is the imagination of two straight lines which intersect with each other for the formation of cross. The formation of the cross would create the way for formation of the four angles. It has however been found that the vertical angles do not have to share the common side. The angle which have been created by ray in between beginning and the final positions can be stated to be measure of rotation of the ray which are rotated along the terminus. The pair of the angles is made use of within geometry and complementary angles and neighbouring angles can be stated to be examples of pair of the angles. The vertical angles can be said to be congruent that brings out that they cannot be stated to be equal. The adjacent angles are indicative of the angles which emerges out of same vertex.

Identification of Adjacent Angles

It has been found that two angles can be stated to be adjacent in the event of having common side and the common vertex. The adjacent angles can be said to be the two angles in the event of having common vertex and common side but it is found that they do not involve themselves in overlapping. They are found to share the side and they are found to be directly next to that of each other. There are certain adjacent angles which can be complementary or the supplementary however this is not a requirement for being adjacent. The angles which miss out on these properties cannot be labelled to be the adjacent angles.

The classification of pairs of the angles can be said to be adjacent or that of not adjacent after looking at the two properties. There exist special relationships in between the various pairs of the angles and identification of adjacent angles can help in recognising various angle relationships like supplementary and the complementary angles.