LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

GEOMETRY - ANGLES

**Angles is the most fundamental part of geometry, in this session we will understand and learn the definition of various types of angles and their utilization in geometry.**

__Angle –__

**Two rays or
line segments starting from the same point, form an angle.
The common endpoint should be called the vertex of the angle. The rays or line
segments are called the arms of the angle. Angles are usually
measured in degrees (⁰), and are given names in accordance
with their magnitudes, as shown in the following figures.**

__Adjacent angles –__

**Two angles
are called adjacent angles if they have the same vertex and a common arm and
their other arms are on either side of the common arm. In the figure ∠COB and ∠BOA are adjacent angles. **

**While ∠COA
and ∠COB
are not adjacent angles.**

__Linear
Pair –__

**Two adjacent angles are said to form a linear pair if the sum of their measures is 180⁰. Here ∠AOB & ∠AOC form a linear pair because 115⁰ + 65⁰ = 180⁰**

**PROPERTY -**

**If a ray OA stands on a line BC then the adjacent angles ∠AOB & ∠AOC form a linear pair, that is -**

**∠AOB + ∠AOC = 180⁰,**

**Also, the sum of all the angles at a point of a line on one side of it is 180⁰. Here ∠BOQ + ∠QOP + ∠POC = 180⁰**