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  • Diagonal AC of a parallelogram ABCD bisects ∠ A (see Fig. 8.19). Show that (i) it bisects ∠ C also,

Q: 6  Diagonal AC of a parallelogram ABCD bisects \small \angle A (see Fig. \small 8.19). Show that it bisects \small \angle C also.

   

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Given: \angleDAC=\angleBAC ................1 

  \angleDAC=\angleBCA.................2  (Alternate angles)

  \angleBAC=\angleACD .................3  (Alternate angles)

From equation  1,2 and 3, we get

 \angleACD=\angleBCA...................4

Hence, diagonal AC bisect angle C also.

 

 

 

 

 

Posted by

seema garhwal

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