## Elementary Geometry for College Students (6th Edition)

$x = \frac{20}{3}$
In the kite $ABCD$, the measures of $\angle B$ and $\angle D$ are equal. We can find $x$: $m\angle B = m\angle D$ $\frac{3x}{2}+2 = \frac{9x}{4} - 3$ $6x+8 = 9x - 12$ $3x = 20$ $x = \frac{20}{3}$