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°. So, we have the equation (7s + 65^{\circ}+73^{\circ}=180^{\circ}).

Step2: Simplify the left - hand side of the equation

First, add the constant angles: (65 + 73=138). The equation becomes (7s+138^{\circ}=180^{\circ}).

Step3: Isolate the term with (s)

Subtract 138° from both sides of the equation: (7s=180^{\circ}- 138^{\circ}), so (7s = 42^{\circ}).

Step4: Solve for (s)

Divide both sides of the equation by 7: (s=\frac{42^{\circ}}{7}).

Answer:

(s = 6^{\circ})