Question 1179588
In triangle AJK and LJK
AJ = JL given
1=2 (given)
JK common side

Therefore triangle AJK and LJK are congruent (by SAS test)

Triangle AKJ is congruent to LKJ  ( congruent angles of congruent triangles)

Therefore 5=6 

Therefore KC bisects Angle AKL
*[illustration bisector1.png].