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Answer :
Final answer:
To find m/MKL, set up an equation using the sum of angles in a triangle and solve for x. Substitute the value of x into the equation for m/MKL to find the measure of the angle.
Explanation:
To find the measure of angle MKL (m/MKL), we need to use the fact that the sum of angles in a triangle is 180 degrees. We can start by setting up an equation:
(x + 8) + (5x - 6) + (x + 19) = 180
Simplifying the equation, we get:
7x + 21 = 180
Subtracting 21 from both sides:
7x = 159
Dividing both sides by 7:
x = 22.714
Now, substitute the value of x into the equation for m/MKL:
m/MKL = x + 19 = 22.714 + 19 = 41.714
Therefore, the measure of angle MKL is approximately 41.714 degrees.
Learn more about Triangle angles
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