Question

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

Explanation:

Step1: Apply triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(65^{\circ}+25^{\circ}+3s = 180^{\circ}\).

Step2: Simplify the left - hand side

First, calculate \(65 + 25=90\). The equation becomes \(90 + 3s=180\).

Step3: Solve for \(s\)

Subtract \(90\) from both sides: \(3s=180 - 90\). Then \(3s = 90\). Divide both sides by \(3\): \(s=\frac{90}{3}\).

Answer:

\(s = 30\)