2019 Nov P2 Q8.2

Question 8.2

$8.2$	In the diagram, the diagonals of quadrilateral $CDEF$ intersect at $T$ . $EF=9$ units, $DC=18$ units, $ET=7$ units, $TC=10$ units, $FT=5$ units and $TD=14$ units.

Prove, with reasons, that:
$\quad 8.2.1$	$E\hat FD=E\hat CD$	$(4)$
$\quad 8.2.2$	$D\hat FC=D\hat EC$	$(3)$
		$\textbf{[7]}$