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In the given figure, AB||CD. Prove that ...

In the given figure, `AB||CD`. Prove that `p+q-r=180`.

Text Solution

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Draw `HF||AB||CD`.
`p^(@)+angle1=180^(@), (180^(@)-r^(@))+angle2=180^(@)`.
`p^(@)+angle1+angle2-r^(@)=180^(@)` [adding]
`:. p+q-r=180" "[ :' angle1+angle2=q^(@)]`.
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