Question

in figure prove that angle AoB + angle BOC + angle COD + angle DOA= 360 degree​

Answer 1

Answer:

hence proved

Step-by-step explanation:

First extend AO up to E (opposite to OA )

since it is a straight line , so

angle AOB + angle BOE = 180 (1)

and

angle EOC + angle COD + angle DOA = 180 (2)

add (1) and (2)

angle AOB + angle BOE + angle EOC + angle COD + angle DOA = 360

angle AOB + angle BOC + angle COD + angle DOA = 360 { angle BOE + angle EOC = angle BOC