Question

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

Answer 1

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