The correct answer is C (7, 9)
Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).
So, we can just add 5 to each of the A value numbers to get point P.
A = (2, 4)
P = (2+5, 4+5)
P = (7, 9)
z + 93 = 180
z = 87
Answer z = 87
Here are the answer for x and y, in case you need them.
x = 2* 93 - 112
x = 186 - 112
x = 74
y = 2 * 80 - x
y = 160 - 74
y = 86