AEGC is a parallelogram whose diagonals AG and CE intersect at B. Points D and F lie exterior of AEGC
such that ABCD and BEFG are also parallelograms. Points H, I, J and K lie on sides AB, BC, BE and BG
respectively such that DH L AB, FK L BG, DI L BC and FJ L BE. If ZHDI = 50°, DI = JF and DH = FK, then
the correct option(s) is(are)
(1)ZIDC + ZKFG = 80°
(2)DJFI and HFKD are parallelograms
(3)BJ + BD = BC + BF
(4)Sum of complements of /EFJ and /ADH = 100°
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