Question

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.

Answer 1

The measure of angle CKJ is 44°

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

`131\°=(x+96)\°+(x+53)\°`

solve for x

`131=2x+149`

`2x=131-149`

`x=-9`

Find the measure of angle CKJ

m∠CKJ=(x+53)°

substitute the value of x

m∠CKJ=(-9+53)=44°