Question

the diagram shows a triangle. what is the value of s? s = \boxed{}°

Explanation:

Step1: Use the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(9s+(s + 31)+39=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((9s+s)+(31 + 39)=180\), which gives \(10s+70 = 180\).

Step3: Solve for \(s\)

Subtract \(70\) from both sides: \(10s=180 - 70\), so \(10s=110\). Then divide both sides by \(10\): \(s=\frac{110}{10}\).

Answer:

\(11\)