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 exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $6s + 38=5s+(6s - 50)$.

Step2: Simplify the equation

First, expand the right - hand side: $6s + 38=5s+6s - 50$. Then combine like terms: $6s + 38 = 11s-50$.

Step3: Isolate the variable s

Subtract $6s$ from both sides: $38=11s - 6s-50$, which simplifies to $38 = 5s-50$. Then add 50 to both sides: $38 + 50=5s$, so $88 = 5s$.

Step4: Solve for s

Divide both sides by 5: $s=\frac{88}{5}=17.6$.

Answer:

$17.6$