$($c$)$ In Figure $4,$ BD is a straight line. The straight lines AB and FD are parallel. The straight lines FB and EC are parallel. $/\_($A$)$BF$=47$and $/\_($D$)$CE$=86.$ Figure $4($i$)$ Find $/\_(\backslash$alpha $),$ explaining your reasoning. $($ii$)$ Find $/\_(\backslash$beta $),$ explaining your reasoning. $($iii$)$ Find $/\_(\backslash$gamma $),$ explaining your reasoning. $($iv$)$ What does your answer to part $($c$)($iii$)$ tell you about triangle FBD $?$ Explain your reasoning.