contestada

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.

Respuesta :

calculista

Answer:

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

[tex]131\°=(x+96)\°+(x+53)\°[/tex]

solve for x

[tex]131=2x+149[/tex]

[tex]2x=131-149[/tex]

[tex]x=-9[/tex]

Find the measure of angle CKJ

m∠CKJ=(x+53)°

substitute the value of x

m∠CKJ=(-9+53)=44°

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