Question

b. find the value of the variable.
(3x + 2)°
(x + 16)°

Explanation:

Step1: Identify angle relationship

The two angles \((3x + 2)^\circ\) and \((x + 16)^\circ\) form a right angle (since there's a right - angle symbol), so their sum is \(90^\circ\). So we can write the equation \((3x + 2)+(x + 16)=90\).

Step2: Simplify the equation

Combine like terms: \(3x+x + 2+16 = 90\), which simplifies to \(4x+18 = 90\).

Step3: Solve for x

Subtract 18 from both sides: \(4x=90 - 18=72\). Then divide both sides by 4: \(x=\frac{72}{4}=18\).

Answer:

\(x = 18\)