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Answer Attempt 4 out of 7
In AKLM, KM is extended through point M to point N, m/KLM = (x + 8)°,
m/LMN = (5x-6), and m/MKL = (x+19)°. Find m/MKL.
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Answer 1

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.

Step-by-step 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