Using the information given in the figure, the values of x and y are
x=7,y=8
In △ABD and △CDB
(i) ∠BAD=∠DCB .....(given)
(ii) ∠ABD=∠CDB.....(given)
(iii) BD = BD .....(common)
(iv) △ABD≅△CDB....(AAS Postulate)
(v) AB = CD .....(cpct)
5x−7=28
5x=35
x=7
(vi) AD = BC ......(cpct)
8y−18=46
8y=64
y=8
Hence (A)