Question

6 52° (5x + 18)°

Explanation:

Step1: Identify right angle sum

The two angles \(52^\circ\) and \((5x + 18)^\circ\) form a right angle (since there's a right - angle symbol), so their sum is \(90^\circ\).
\[52+(5x + 18)=90\]

Step2: Simplify the left - hand side

Combine like terms: \(52 + 18+5x=90\), which simplifies to \(70 + 5x=90\).

Step3: Solve for x

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

Answer:

\(x = 4\)