Question

what is the value of s? s =

Explanation:

Step1: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((s + 20)+(9s-50)+5s=180\).

Step2: Combine like terms

Combine the \(s\) terms and the constant terms: \((s+9s + 5s)+(20 - 50)=180\), which simplifies to \(15s-30 = 180\).

Step3: Isolate the term with \(s\)

Add \(30\) to both sides of the equation: \(15s-30+30=180 + 30\), so \(15s=210\).

Step4: Solve for \(s\)

Divide both sides by \(15\): \(s=\frac{210}{15}\).

Answer:

\(14\)