Find the measure of angle ckj if the measure of angle lkc is x + 96, the measure of angle lkj is 131 degrees, and the measure of angle ckj is x + 53.

The measure of angle CKJ is 44°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LKJ=m∠LKC+m∠CKJ ----> by addition angle postulate

substitute the given values

solve for x

Find the measure of angle CKJ

m∠CKJ=(x+53)°

substitute the value of x

m∠CKJ=(-9+53)=44°