Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(42^{\circ}+81^{\circ}+3s = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(42\) and \(81\): \(42 + 81=123\). Then the equation becomes \(123+3s = 180\).

Step3: Solve for \(3s\)

Subtract \(123\) from both sides of the equation: \(3s=180 - 123\). So, \(3s = 57\).

Step4: Solve for \(s\)

Divide both sides of the equation \(3s = 57\) by \(3\): \(s=\frac{57}{3}\).

Answer:

\(s = 19\)