Question

angle relationships
①
54°
(10x + 16)°

Explanation:

Step1: Set up the equation

Since the two angles are complementary (they add up to \(90^{\circ}\)), we have \(54+(10x + 16)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(54+16+10x=90\), which gives \(70 + 10x=90\).

Step3: Solve for \(x\)

Subtract \(70\) from both sides: \(10x=90 - 70\), so \(10x=20\). Then divide both sides by \(10\): \(x=\frac{20}{10}=2\).

Answer:

\(x = 2\)