An organic acid ($X$) has molecular formula $C_8H_{16}O_2$ $X$ on heating with $NH_3$ forms $Y$ which on treatment with alkaline $Br_2$ forms $Z$.$Z$ on treatment with $HNO_2$ followed by heating with $H_2SO_4$ gives $2$,$4$-dimethyl-$2$-pentene.What are the structures of $X$ and $Z$?

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