Question

find the value of x.

Explanation:

Step1: Analyze the relationship between angles

Since \( \angle DHF = 90^{\circ}\), and \( \angle DHE=(8x)^{\circ}\), \( \angle EHF=(7x)^{\circ}\), we know that \(8x + 7x=90\).

Step2: Solve the equation

Combine like - terms: \(15x = 90\).
Divide both sides by 15: \(x=\frac{90}{15}\).

Answer:

\(6\)