Question

the diagram shows a triangle. what is the value of s? write your answer as an integer or as a decimal rounded to the nearest tenth. s =

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((s + 19)+103 + 3s=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((s+3s)+(19 + 103)=180\), which gives \(4s+122 = 180\).

Step3: Solve for \(s\)

Subtract \(122\) from both sides: \(4s=180 - 122\), so \(4s=58\). Then divide both sides by \(4\): \(s=\frac{58}{4}=14.5\).

Answer:

\(14.5\)