Two angles are supplementary. They have measures of (7x+2) and (3x-2), respectively. What is the value of x?

To find the value of x, we need to use the fact that supplementary angles add up to 180 degrees.

So, we can set up the equation:

(7x + 2) + (3x - 2) = 180

Simplifying the equation:

10x = 180

Dividing both sides of the equation by 10:

x = 18

Therefore, the value of x is 18.