Question

2. The sum of all the angles formed on the same side of a line at a given point on the line is

Answer 1

Answer:

Step-by-step explanation:

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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