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In triangle JKL, the measure of angle J is (8x+6) degrees, the measure of angle K is (2x+2) degrees, and the measure of angle L is (4x+4). Find the measurement of angle L.

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Final answer:

To find the measurement of angle L in triangle JKL, set up the equation using the sum of the triangle's angles, solve for x, and substitute x back into the expression for angle L.

Step-by-step explanation:

The student is asking to find the measurement of angle L in triangle JKL, where the measure of angle J is given as (8x+6) degrees, the measure of angle K as (2x+2) degrees and the measure of angle L as (4x+4) degrees. To find the measurement of angle L, we can use the fact that the sum of angles in any triangle is 180 degrees.

By setting up the equation (8x+6) + (2x+2) + (4x+4) = 180 and solving for x, we can determine the value of x that satisfies this condition. Once x has been found, we can then substitute it back into the expression for the measure of angle L, (4x+4), to arrive at the actual measurement of angle L in degrees.

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