Question

6 52° (5x + 18)°

Explanation:

Step1: Identify angle relationship

The two angles \(52^\circ\) and \((5x + 18)^\circ\) are complementary (since they form a right angle, \(90^\circ\) total). So, \(52+(5x + 18)=90\).

Step2: Simplify the equation

Combine like terms: \(5x+70 = 90\).

Step3: Solve for x

Subtract 70 from both sides: \(5x=90 - 70=20\). Then divide by 5: \(x=\frac{20}{5}=4\).

Answer:

\(x = 4\)