Question

find the value of x using the kite below (work required)

Answer 1

Since the diagonals in a kite intersect creating a right angle, the angles 2x° and (10x - 6)° are complementary angles. So we have:

$\begin{gathered} 2x+(10x-6)=90 \\ 12x-6=90 \\ 12x=96 \\ x=\frac{96}{12} \\ x=8 \end{gathered}$

So the value of x is 8.