Question

a triangle has interior angle measures of s + 13°, 2s − 5°, and 2s. what is the value of s? write your answer as an integer or as a decimal rounded to the nearest tenth. s = ☐° submit

Explanation:

Step1: Recall triangle angle sum

The sum of interior angles of a triangle is \(180^\circ\). So, we set up the equation: \((s + 13) + (2s - 5) + 2s = 180\).

Step2: Combine like terms

Combine the \(s\) terms and constant terms: \(s + 2s + 2s + 13 - 5 = 180\) → \(5s + 8 = 180\).

Step3: Solve for \(s\)

Subtract 8 from both sides: \(5s = 180 - 8 = 172\). Then divide by 5: \(s = \frac{172}{5} = 34.4\).

Answer:

\(34.4\)