Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(2s + 2s+56^{\circ}=180^{\circ}\).

Step2: Simplify the equation

Combine like terms: \(4s+56^{\circ}=180^{\circ}\).
Subtract \(56^{\circ}\) from both sides: \(4s = 180^{\circ}- 56^{\circ}\), so \(4s=124^{\circ}\).

Step3: Solve for \(s\)

Divide both sides by \(4\): \(s=\frac{124^{\circ}}{4}\).

Answer:

\(s = 31^{\circ}\)