Angles

What is an angle?

When two line meet at a common point an angle is formed.

Like length of object is measured in Meter
or Weight of object is measured in Kilograms
Similarly angle between the lines is measured in degrees

Parts of Angle

Arms
The ray forming the angle is known as arms
Here OA & OB are the two arms

Vertex
The point at which two ray meet is known as Vertex
Here point O is the vertex

How to name the angle

The angle is named using symbol “ \angle “

Hence, the above angled can be named as \angle O or \angle AOB

Naming of Multiple Angles

Above image shows multiple angles.
We can name the angles as follows:
\angle 1 or \angle AOB
\angle 2 or \angle BOC
\angle 3 or \angle COD
\angle 4 or \angle DOE

Angle Comparison

The more open the lines, the greater the angle will be.

In the below figure one simply observe that:
\angle 2 is greater than \angle 1, just because the line between angle 2 is more open.

Interior and Exterior Points of Angle

Any point which lies inside the two arms are in interior of angle
Point which is outside the two arms are in exterior of angle

In the above figure you can observe that:
Point 1 & 2 are in interior of \angle AOC
Point 3 & 4 are in exterior of \angle AOC

Important FAQ’s

(01) What is Vertex in angle?

Read Solution

(02) What is unit of measurement of Angle?

(03) How to measure any given angle