The measure of angle JKL is 150°.

The measure of angle JKM is 120°.
The measure of angle MKL is x°.
Find the value of x.

To find the value of x, we can start by using the fact that the sum of the measures of the angles in a triangle is always 180°.

So, we have:
JKL + JKM + MKL = 180°

Substituting the given measures, we get:
150° + 120° + x° = 180°

Combining like terms, we have:
270° + x° = 180°

Now, we can solve for x:
x° = 180° - 270° = -90°

Therefore, the value of x is -90°.

To find the value of x, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

In this case, we have a triangle with angles JKL, JKM, and MKL. Therefore, we can write the equation:

JKL + JKM + MKL = 180

Substituting the given values:

150 + 120 + x = 180

Now, we can solve for x by subtracting 150 and 120 from both sides:

x = 180 - 150 - 120
x = 30 degrees

Therefore, the value of x is 30°.

To find the value of x, we can use the fact that the sum of the angles in a triangle is 180°.

Since we are given that angle JKL is 150° and angle JKM is 120°, we can find the measure of angle MKL by subtracting the sum of the other two angles from 180°.

Let's proceed step-by-step:

1. Start with the measure of angle JKL: 150°
2. Add the measure of angle JKM: 150° + 120° = 270°
3. Subtract the sum of the other two angles from 180° to find the measure of angle MKL: 180° - 270° = -90°

However, since angles cannot have negative measures in this context, it means that angle MKL does not exist. Hence, there is no specific value of x that satisfies the given conditions.