Answer :
Answer:
44°
Step-by-step explanation:
From the problem, we have two angles which sum results in a third one, that is:
[tex]m\angle LKJ = m\angle LKC + m\angle CKJ[/tex]
So, using this relation, and replacing all expression into each angle, and then solving for x, we have:
[tex]m\angle LKJ = m\angle LKC + m\angle CKJ\\131\°=x+96\°+x+53\°\\131\° - 96\° - 53\°=x+x\\-18=2x\\x=\frac{-18}{2}=-9[/tex]
But, the problem is asking for the angle CKJ, so, replacing x by its value in the relation of this angle, we have:
[tex]m\angle CKJ=x+53=-9+53\\m\angle CKJ=44\°[/tex]
Therefore, the answer is 44°