Based on the intersection of the lines, the measure of angle KJL is 26 degrees
<h3>What are angles?</h3>
Angles are formed at the intersection of two or more lines or rays
<h3>How to determine the measure of the angle KJL?</h3>
From the question, the given parameters are:
Angle KJL = Angle NJM
Angle KJM = 4x + 14
Angle NJL = 5x + 4
Angle LJM = 28
From the above angles, we have the following equations
Angle NJM = Angle NJL - Angle LJM
Angle KJL = Angle KJM - Angle LJM
So, we have
Angle NJM = 5x + 4 - 28
Angle KJL = 4x + 14 - 28
This gives
5x + 4 - 28 = 4x + 14 - 28
Evaluate the like terms
x = 10
Substitute x = 10 in Angle KJL = 4x + 14 - 28
Angle KJL = 4 x 10 + 14 - 28
Evaluate
Angle KJL = 26
Hence, the measure of angle KJL is 26 degrees
Read more about angles at
brainly.com/question/7620723
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