Answer:
x = 11, y = 14
Step-by-step explanation:
The diagonals in a parallelogram bisect each other.
If required, you can find the proof to this statement by looking up Khan Academy's video on the subject.
Using this knowledge, we can infer that:
[tex]\begin{cases}25 = x + 14\\30 = y + 16\end{cases}[/tex]
Using the first case,
[tex]x + 14 = 25 \text{ // Subtract 14}\\x + 14 - 14 = 25 - 14\\x = 11[/tex]
Using the second case,
[tex]y + 16 = 30 \text{ // Subtract 16}\\y + 16 - 16 = 30 - 16\\y = 14[/tex]
