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In figure, angleB lt angleA and angleC l...

In figure, `angleB lt angleA` and `angleC lt angleD`. Show that `AD lt BC`.

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We have, `angleB lt angleA` (given)
and `angleC lt angleD` (given)
`:. AO lt BO` ...(1)
`OD lt OC`
( `:'` side opposite to greater angle is longer) ...(2)
On adding (1) and (2), we have
`(AO+OD) lt (BO+OC)`
`AD lt BC`.
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