Question

find the value of x.

Explanation:

Step1: Identify angle - relationship

The angle formed by $AD$ and $BD$ is a right - angle ($90^{\circ}$). The sum of the $24^{\circ}$ angle and the $(6x)^{\circ}$ angle is equal to $90^{\circ}$.
So, $24 + 6x=90$.

Step2: Solve the equation for x

Subtract 24 from both sides of the equation:
$6x=90 - 24$.
$6x = 66$.
Then divide both sides by 6:
$x=\frac{66}{6}$.

Answer:

$11$