Hi Bolger.
We give HELP rather than answers.
Here are some hints.
Label the points of the kite A, B, C, and D so that AB and AD are the short sides and b measures the angle ABC.
Naming things helps you think.
Construct BD.
[math]\text {Let } x \text { and } y \text { measure } \angle \text {CBD and } \angle \text {ABD respectively.}\\
\text {Let } z \text { measure } \angle \text {BCD.}[/math]
Naming things helps you think.
Now, what kind of triangle is [imath]\triangle ABD[/imath]?
What kind of triangle is [imath]\triangle BCD[/imath]?