Great question! Based on the information provided, we can use the fact that the sum of the interior angles of a kite is 360 degrees. Let's call the fourth vertex (x, y).
Using the fact that the sum of the interior angles of a kite is 360 degrees, we can set up the equation:
∠(5, 7) + ∠(8, 10) + ∠(11, 7) + ∠(x, y) = 360
Simplifying this equation, we get:
210 - 7x + 3y = 0
Solving for x and y, we get:
x = 14 or x = 20
y = 3 or y = -5
So, the possible coordinates of the fourth vertex are (14, 3), (14, -5), (20, 3), or (20, -5).
