Question

find the values of x and y.
x =
y =

Explanation:

Step1: Use angle - sum property of right - angle

Since $\angle BFD = 90^{\circ}$, we know that $6y + 4y=90$.
$6y + 4y=90$ simplifies to $10y = 90$.

Step2: Solve for y

Divide both sides of the equation $10y = 90$ by 10.
$y=\frac{90}{10}=9$.

Step3: Find the value of x

We know that $x + 82=90$ (because $\angle DFE+\angle EFA = 90^{\circ}$).
Subtract 82 from both sides of the equation: $x=90 - 82$.
$x = 8$.

Answer:

$x = 8$
$y = 9$