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In triangle JKL, if measure of angle L is thirteen more than measure of angle K and measure of angle J is seven more than six times measure of angle K, find the measure of each angle.

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Answer:

Angle J = 127°

Angle K = 20°

Angle L = 33°

Step-by-step explanation:

Let 6x+7 be angle J, let x be angle K, and let x+13 be angle L.

The angles of a triangle add to 180°, so the equation would be set up like this: (6x+7)+(x)+(x+13)=180

First, combine like terms - 8x+20=180

Next, subtract 20 from each side - 8x=160

Then, to get x by itself, divide by 8 on both sides - x=20

Finally, plug 20 into x to find the measure of each angle:

J: 6(20)+7=120+7=127°

K: 20°

L: 20+13=33°

All angle measures should add to 180°

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