An adjacent angle marks 100 and other degree In between J and K is labeled 3x +30and in between J and K is labled 3x

Middle line K far left line L far right line J and vortex M
determine the value of x
possible answers:30 14 70 100

To solve this problem, we can set up an equation by using the fact that the sum of adjacent angles is always 180 degrees.

The angle between J and K is labeled as 3x + 30, and the angle between K and M is labeled as 100 degrees.

So, we can write the equation as:

(3x + 30) + 100 = 180

Simplifying the equation:

3x + 130 = 180

Subtracting 130 from both sides:

3x = 50

Dividing both sides by 3:

x = 50/3

Therefore, the value of x is approximately 16.67.

None of the given options match the value of x calculated.