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

                (i) it bisects \small \angle C also.

                

Answers (1)

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.

 

 

 

 

 

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