Question

what is the value of s? write your answer as an integer or as a decimal rounded to the nearest tenth. s =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(8s - 93)+(5s)+(s + 16)=180$.

Step2: Combine like - terms

Combine the s - terms and the constant terms: $(8s+5s + s)+(-93 + 16)=180$. This simplifies to $14s-77 = 180$.

Step3: Isolate the variable term

Add 77 to both sides of the equation: $14s-77 + 77=180 + 77$, which gives $14s=257$.

Step4: Solve for s

Divide both sides by 14: $s=\frac{257}{14}\approx18.4$.

Answer:

$18.4$