We only need to calculate one of the functions shown. I will be using |x| - 1 because it is the simplist.
|x| makes a V shape and we know it only goes from -1 to 1. And that means it can be A or D. Next we apply the -1 so that it will go down. The only option that fits this is option A.
In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.