4. In Fig. 6.16, if x + y = w + z, then prove that AOB is a line.

            

Answers (1)


Given that,
 x+y = z+w..............(i)
It is known that, the sum of all the angles at a point = 360^0
\therefore  x+y+z+w=360^0..............(ii)

From eq (i) and eq (ii), we get

\\2(x+y)=360^0\\ x+y = 180^0

Hence proved AOB is a line.
 

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