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, \(42+(3s + 37)+(s+25)=180\).

Step2: Combine like - terms

\(42+3s + 37+s+25 = 180\) simplifies to \((3s + s)+(42 + 37+25)=180\), which is \(4s+104 = 180\).

Step3: Isolate the variable term

Subtract 104 from both sides: \(4s=180 - 104\), so \(4s = 76\).

Step4: Solve for s

Divide both sides by 4: \(s=\frac{76}{4}=19\).

Answer:

19