Question

what is the value of s? 6s - 88° s + 94° write your answer as an integer or as a decimal rounded to the nearest tenth.

Explanation:

Step1: Use 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, $6s - 88=(s)+(s + 94)$.

Step2: Simplify the right - hand side of the equation

Combine like terms on the right - hand side: $6s-88 = 2s+94$.

Step3: Isolate the variable terms

Subtract $2s$ from both sides: $6s-2s - 88=2s-2s + 94$, which gives $4s-88 = 94$.

Step4: Isolate the variable $s$

Add 88 to both sides: $4s-88 + 88=94 + 88$, so $4s=182$.

Step5: Solve for $s$

Divide both sides by 4: $s=\frac{182}{4}=45.5$.

Answer:

$45.5$