Me asap 40 points and brainliest show work
find the variables and the lengths of the sides of this kite

X = 7 
Y = 16

Since we know that the bottom two sides are congruent we can make an equation to solve for that X first [2x + 5 = x + 12] .  (since we cannot make an equation with the two congruent sides at the top because there are different variables). 
Now that we've solved for X which is 7, we can plug it into the top equation [y - 4 = x + 5] which would simplify to [ y - 4 = 12] which would give us 16 for Y