Question

solve for the value of s.

Explanation:

Step1: Set up the equation

The sum of the angles \((6s - 8)^{\circ}\), \(90^{\circ}\), and \((8s)^{\circ}\) is \(180^{\circ}\) (straight - angle). So, \((6s-8)+90 + 8s=180\).

Step2: Simplify the left - hand side

Combine like terms: \((6s + 8s)+(90 - 8)=180\), which gives \(14s+82 = 180\).

Step3: Isolate the term with \(s\)

Subtract \(82\) from both sides: \(14s=180 - 82\), so \(14s=98\).

Step4: Solve for \(s\)

Divide both sides by \(14\): \(s=\frac{98}{14}\).

Answer:

\(s = 7\)