Question

the diagram shows a triangle. what is the value of s? s = ° submit

Explanation:

Step1: Use the triangle - angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(2s + 3s+4s=180^{\circ}\).

Step2: Combine like terms

\(2s + 3s + 4s=(2 + 3+4)s=9s\). Then the equation becomes \(9s = 180^{\circ}\).

Step3: Solve for \(s\)

Divide both sides of the equation \(9s = 180^{\circ}\) by \(9\). We get \(s=\frac{180^{\circ}}{9}\).

Answer:

\(20\)