In triangle JKL, if angle K is nine more than angle J and angle L is 21 less than twice angle J, find the measure of each angle.

The measure of the angles are:

J = 48

K = 57

L = 75

Step-by-step explanation:

In order to find the measure of these angles, we first have to set J as x. With this fact, we can then find the measure of all of these angles using their descriptions.

J = x

K = x + 9

L = 2x - 21

Now knowing all of this, we can add them all together and set equal to 180.

x + x + 9 + 2x - 21 = 180

4x - 12 = 180

4x = 192

x = 48

Now that we have the measure of x, we can solve the rest.

J = x = 48

K = x + 9 = 48 + 9 = 57

L = 2x - 21 = 2 (48) - 21 = 96 - 21 = 75