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

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Set up an equation

Let the three angles of the triangle be 30°, 45°, and 7s. Then 30 + 45+7s=180.

Step3: Simplify the left - hand side

75 + 7s=180.

Step4: Isolate the variable term

Subtract 75 from both sides: 7s=180 - 75, so 7s=105.

Step5: Solve for s

Divide both sides by 7: s = \frac{105}{7}=15.

Answer:

15