Final answer:
To find the measure of angle JKN, we need to use the fact that angles in a triangle add up to 180 degrees. We can set up an equation using the measures of angles NKL and JKM. By solving this equation, we find that the measure of angle JKN is 184 degrees.
Step-by-step explanation:
To find the measure of angle JKN, we need to use the fact that angles in a triangle add up to 180 degrees. In triangle JKN, we already know the measures of angles NKL and JKM. We can set up the equation:
(7x - 5) + (x + 3) + JKN = 180
Simplifying the equation, we have:
8x - 2 = 180
Now, solve for x:
8x = 182
x = 22.75
Substitute the value of x back into the equation to find the measure of angle JKN:
JKN = (7(22.75) - 5) + (22.75 + 3) = 158.25 + 25.75 = 184