Question

The measure of two vertical angles are 6x+18 and 8x-2 find x and the equation to solve.

Answer 1

The vertical angles are congruent (have the same measures).

Therefore you have the equation:

`6x+18=8x-2\qquad|-18\\\\6x=8x-20\qquad|-8x\\\\-2x=-20\qquad|:(-2)\\\\\boxed{x=10}`