Question

what is the value of s? 13s - 43° 8s 30° write your answer as an integer or as a decimal rounded to the nearest tenth.

Explanation:

Step1: Apply the exterior - angle property of a triangle.

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $13s - 43=8s + 30$.

Step2: Solve the equation for $s$.

Subtract $8s$ from both sides: $13s-8s - 43=8s-8s + 30$, which simplifies to $5s-43 = 30$.

Step3: Isolate the variable term.

Add 43 to both sides: $5s-43 + 43=30 + 43$, getting $5s=73$.

Step4: Solve for $s$.

Divide both sides by 5: $s=\frac{73}{5}=14.6$.

Answer:

$14.6$