Question

find the value of x.
24°
(6x)°
x =

Explanation:

Step1: Identify angle - sum relationship

The angle $\angle CDB = 90^{\circ}$, and $\angle CDE=24^{\circ}$, and $\angle EDB = 6x^{\circ}$. Since $\angle CDE+\angle EDB=\angle CDB$.

Step2: Set up the equation

We have the equation $24 + 6x=90$.

Step3: Solve the equation for x

First, subtract 24 from both sides: $6x=90 - 24$. So $6x = 66$. Then divide both sides by 6: $x=\frac{66}{6}=11$.

Answer:

$11$