Measure of a verticle angle is 7x+182 and another angle is 9x+194 solve for x

The measures of 2 vertical angles are always equal, so we have:

7x+182=9x+192.

Rearranging, we have 182-192=9x-7x, which simplifies to - 12=2x.

Thus, x=-6.

This means that the angles are:

i) 7x+182=7 (-6) + 182=182-42 = 140 (degrees).

ii) 9x+194=9 (-6) + 194=194-54=140 (degrees, as expected.)

Answer: x=-6