They are most likely 90 degrees, due to the sharing of a common side and a common vertex. They really could be anything though. If given more details, I will give a better answer. I still would like Brainliest, however.
The correct answer is h = 9 and k = -8.
While this may seem like a much more complicated problem, the fact is that the vertex of the equation is aways expressed in terms of (h, k). So, since this vertex is already given, we know that the values are simply the values of h and k are simply the x and y values of the vertex. No math is really needed to solve this.
x+y-z+w = 10--------(1)
x+3y-4z+5w=26------(2)
x+4y-7z+7w = 37-------(3)
x+2y-3z+6w = 22--------(4)
Subtract equation (1) from (2)
x+3y-4z+5w - (x+y-z+w) = 26 - 10
2y + -3z - 4w = 16-----------------------------(5)
Subtract equation (1) from (3)