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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

We know the angles of the triangle are (4s), (11s), and (45^{\circ}). So, (4s + 11s+45 = 180).

Step3: Combine like - terms

(15s+45 = 180).

Step4: Isolate the variable term

Subtract 45 from both sides: (15s=180 - 45), so (15s = 135).

Step5: Solve for s

Divide both sides by 15: (s=\frac{135}{15}).

Answer:

9