Question

rays OA OB OC OD OE have the common endpoint O show that angle AOB + angle BOC + angle COD + angle DOE + angle EOA = 360°

Answer 1

Now you can see in the picture that if add angle AOB, angle BOC, angle COD, angle DOE, angle EOA then it form a complete angle and that is equal to 360 degree.

Answer 2

Step-by-step explanation:

in the figure

expand the ray in the form of a line i.e. O to F

So it will become line AOF

now, angle AOB+ angle BOC+ angle COF=180° (Linear pair)

and angle AOE+ angle ROD + angle DOF=180° (linear pair)

so on adding them,

angle AOB +BOC+COF+FOD+DOE+EOA=

180°+180° =360°

Hence, prooved

I hope that it will help you