Question 7
The incircle of $\triangle ABC$, with incentre $I$, meets $BC$, $CA$ and $AB$ at $D$, $E$ and $F$ respectively. The line $EF$ cuts the lines $BI$, $CI$, $BC$ and $DI$ at points $K$, $L$, $M$ and $Q$ respectively. The line through the midpoint of $CL$ and $M$ meets $CK$ at $P$.
a. Determine $\angle BKC$.
b. Show that the lines $PQ$ and $CL$ are parallel.
a. Determine $\angle BKC$.
b. Show that the lines $PQ$ and $CL$ are parallel.