Question

the diagram shows a triangle. 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, \((s + 7)+(2s-7)+3s=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((s+2s + 3s)+(7 - 7)=180\), which gives \(6s=180\).

Step3: Solve for \(s\)

Divide both sides of the equation \(6s = 180\) by \(6\). So, \(s=\frac{180}{6}\).

Answer:

\(s = 30\)