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, \(33^{\circ}+(s + 27^{\circ})+19s=180^{\circ}\).

Step2: Simplify the equation

Combine like - terms: \(33 + 27+s+19s=180\), which becomes \(60 + 20s=180\).

Step3: Solve for \(s\)

Subtract \(60\) from both sides: \(20s=180 - 60\), so \(20s=120\). Then divide both sides by \(20\): \(s=\frac{120}{20}\).

Answer:

\(s = 6\)