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Two parallel lines l and m are intersec...

Two parallel lines l and m are intersected by a transversal p (see Fig. 8.15). Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Text Solution

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`:. anglePAC=angleACR=2Q`
`:. angleBAC=anglePAB=Q`
`:. angleBAc=angleACD=Q`
AB||CD`(:'angleBAC=angleACD)`
CB||AD
`anglePAC+angleSAC=180^0`
`1/2(PAC)+1/2(SAS)=90^0`
`angleABC+angleCAB=90^0`
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