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: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(43+(s + 89)+(16s+2)=180\).

Step2: Combine like - terms

First, simplify the left - hand side of the equation: \(43 + s+89 + 16s+2=180\). Combine the constant terms: \(43+89 + 2=134\), and the s - terms: \(s+16s = 17s\). The equation becomes \(17s+134 = 180\).

Step3: Isolate the variable s

Subtract 134 from both sides of the equation: \(17s=180 - 134\). So, \(17s=46\).

Step4: Solve for s

Divide both sides by 17: \(s=\frac{46}{17}\approx2.7\).

Answer:

\(2.7\)