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QUESTION IMAGE

10 (7x)° 34°

Question

10 (7x)° 34°

Explanation:

Step1: Identify angle relationship

The two angles \(7x^\circ\) and \(34^\circ\) are complementary (sum to \(90^\circ\)) because they form a right angle. So, \(7x + 34 = 90\).

Step2: Solve for \(x\)

Subtract 34 from both sides: \(7x = 90 - 34 = 56\). Then divide by 7: \(x=\frac{56}{7}=8\).

Answer:

\(x = 8\)