find the value of x.\nx =
find the value of x.\nx =
Answer
Explanation:
Step1: Identify angle - relationship
The angle formed by $\overrightarrow{CD}$ and $\overrightarrow{AD}$ is a right - angle (90°). The two non - overlapping angles $\angle CDE = 24^{\circ}$ and $\angle EDA=6x^{\circ}$ together form this right - angle. 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:
$x = 11$