![](http://uploads.cdn.yaclass.in/upload/pumpa/img_4.png)
PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoLinear pair:
Linear pair of angles should add up to \(180°\).
If the given two adjacent angles does not make the \(180°\), then it is not a linear pair.
![10 Ресурс 1 (1).png](https://resources.cdn.yaclass.in/e0ad85ef-c98a-407c-a6ba-7803df16eb50/10%D0%A0%D0%B5%D1%81%D1%83%D1%80%D1%8111w288.png)
We studied that the sum of all the angles formed at a point on a straight line is \(180°\).
Think what would be the angle if many rays arises from a single point!
All the rays are starting from a single point. So the sum of the angles around a point will be \(360°\).
Now we understand this with some example.
Observe the below figure. Here \(AB\) is a straight line. And \(OC\) is a ray meeting \(AB\) at \(O\). It is evident that and is a linear pairs, so it makes the angles of \(180°\).
![11 Ресурс 2.png](https://resources.cdn.yaclass.in/c2384dc8-3c01-4e14-bb68-e6e3174c3bf2/11%D0%A0%D0%B5%D1%81%D1%83%D1%80%D1%812w325.png)
Also the another ray \(OD\) meeting \(AB\) at \(O\). Then and is a linear, which makes \(180°\).
We can observe that all the angles , , and are originated at the point of \(O\).
Therefore, .
Hence, it is clear that the sum of the angles at a point will be \(360°\).