Find the values of the variables in this kite.

ANSWER



EXPLANATION

The adjacent sides of the kite are equal.

So we can write two simultaneous equations in variable x and y and solve for the variables.

The two longer adjacent sides are equal, so we write the equation,



We group like terms to get,



We simplify to get,



Also the length of the two shorter adjacent sides are equal.

This implies that,



We solve for y to get,




We substitute the value of x to get,