Question

solve for the value of s.
answer attempt 1 out of 2
s =

Explanation:

Step1: Set up the equation

Since the sum of the angles \((3s - 2)^{\circ}\), \(90^{\circ}\), and \((4s - 6)^{\circ}\) is \(180^{\circ}\) (they form a straight - line angle), we have the equation \((3s-2)+90+(4s - 6)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3s+4s-2 - 6+90=180\), which simplifies to \(7s + 82=180\).

Step3: Solve for \(s\)

Subtract 82 from both sides: \(7s=180 - 82\), so \(7s=98\). Then divide both sides by 7: \(s=\frac{98}{7}\).

Answer:

\(s = 14\)