Question

what is the value of s? s s - 37° s + 46° s = °

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.
So, \(s+(s - 37^{\circ})+(180^{\circ}-(s + 46^{\circ}))=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, expand the expression: \(s+(s - 37^{\circ})+(180^{\circ}-s - 46^{\circ})=180^{\circ}\).
Combine like terms: \((s + s - s)+(-37^{\circ}+180^{\circ}-46^{\circ})=180^{\circ}\).
\(s+(97^{\circ})=180^{\circ}\).

Step3: Solve for s

Subtract 97° from both sides of the equation: \(s=180^{\circ}-97^{\circ}\).
\(s = 83^{\circ}\).

Answer:

\(83\)