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QUESTION IMAGE

find the value of x. x = submit

Question

find the value of x. x = submit

Explanation:

Step1: Analyze the angle relationship

Since \( \angle CDA = 90^{\circ}\), and the sum of \(24^{\circ}\) and \(6x^{\circ}\) is \(90^{\circ}\). So we can set up the equation \(24 + 6x=90\).

Step2: Solve the equation for \(x\)

Subtract \(24\) from both sides of the equation:
\(6x=90 - 24\)
\(6x=66\)
Divide both sides by \(6\):
\(x=\frac{66}{6}=11\)

Answer:

\(11\)