Find the value of the pronumeral b in a kite where only one angle is given :)

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.

Let x and y measure CBD and ABD respectively.Let z measure BCD.\text {Let } x \text { and } y \text { measure } \angle \text {CBD and } \angle \text {ABD respectively.}\\ \text {Let } z \text { measure } \angle \text {BCD.}
Naming things helps you think.

Now, what kind of triangle is ABD\triangle ABD?

What kind of triangle is BCD\triangle BCD?
 
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