Math Doubts

Adjacent Angles

adjacent angles
Adjacent Angles

Two angles formed by the three lines which have a common arm and a common vertex, are defined adjacent angles.

Two angles can be formed by the lines which are started from a point. Three lines should be required to form two angles and the three lines form two angles only when one of endpoints of three lines are connected at a point and the other endpoints of them are located at different positions on a plane.

The point at which one of endpoints of three lines are joined, is called a common vertex. The middle line becomes a common arm to the first and last lines. The first and last lines make two angles with a common arm and they are adjacent to each other. Due to this reason, the angles are called adjacent angles.


Consider three lines and join one of the endpoints of them at a point, which is called a vertex. Let us call it point V. one of points on the lines are located at U, W and X on a plane. Thus, three rays VW, VX and VU are formed geometrically on a plane.

Assume, the angle between the rays VW and VX is α. In other words XVW = α

Assume, the angle between the rays VU and VX is β. In other words UVX = β

Observe the figure and the ray VX is a common arm which helps the other rays to make two angles but all three rays are started from a common vertex (V). Therefore, the two angles α and β are called adjacent angles.

Math Doubts

A best free mathematics education website that helps students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved