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In Fig. 6.16, if x+y=w+z, then prove tha...

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

Text Solution

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`x+y+w+z=360^(@)" "` (angle at a point ).....(1)
`x+y=w+z" "` (given)....(2)
`x+y+x+y=360^(@)" "` [from (1) and (2)]
`2(x+y)=360^(@)rArrx+y=180^(@)`

Hence, AOB is a straight line.
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