Question

what is the value of s? 11s - 96° 4s 50° write your answer as an integer or as a decimal rounded to the nearest tenth. s =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $11s - 96=4s + 50$.

Step2: Rearrange the equation

Subtract $4s$ from both sides: $11s-4s - 96=4s-4s + 50$, which simplifies to $7s-96 = 50$.

Step3: Isolate the variable term

Add 96 to both sides: $7s-96 + 96=50 + 96$, resulting in $7s=146$.

Step4: Solve for s

Divide both sides by 7: $s=\frac{146}{7}\approx20.9$.

Answer:

$20.9$