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

44 degrees

Explanation:

Answer 2

44°

Explanation:

From the problem, we have two angles which sum results in a third one, that is:

`m\angle LKJ = m\angle LKC + m\angle CKJ`

So, using this relation, and replacing all expression into each angle, and then solving for x, we have:

`m\angle LKJ = m\angle LKC + m\angle CKJ\\131\°=x+96\°+x+53\°\\131\° - 96\° - 53\°=x+x\\-18=2x\\x=(-18)/(2)=-9`

But, the problem is asking for the angle CKJ, so, replacing x by its value in the relation of this angle, we have:

`m\angle CKJ=x+53=-9+53\\m\angle CKJ=44\°`

Therefore, the answer is 44°