English, asked by dipakgupta7217, 1 year ago

prove that sum of all angles formed on the same side of a line at a given point on the line is 180 degree

Answers

Answered by khy32
16
it is not english but maths subject so write it there
Answered by Arslankincsem
32

Let AOB is a straight line and rays OC, OD and OE makes ang AOC,ang COD, ang DOE, and ang EOB.  


To Prove: angles AOC+ COD+ DOE + EOB = 180°.


Proof: ray OC is on AB.


So, AOC + COB = 180°.


We know, COB= ( COD+ DOE+ EOB)  


AOC + ( COD+ DOE+ EOB)= 180°.


So, AOC+ COD+ DOE + EOB = 180°.


Hence, proved that sum of all angles formed on the same side of a line at a given point on the line is 180 degree.

 

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