What is the equation for determining the angle measures (7x - 9) and 4x?

To determine the angle measures, we need to set the two angles equal to each other and solve for x.

(7x - 9) = 4x

Now, we can solve for x by subtracting 4x from both sides:

7x - 9 = 4x
3x - 9 = 0
3x = 9
x = 3

Now that we have found the value of x, we can substitute it back into the equations to find the angles:

Angle 1 = 7x - 9 = 7(3) - 9 = 21 - 9 = 12 degrees
Angle 2 = 4x = 4(3) = 12 degrees

Therefore, the angle measures are 12 degrees and 12 degrees.