Question

the diagram shows a triangle. what is the value of s? s = square^{circ}

Explanation:

Step1: Use the triangle - angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(17s + 88^{\circ}+58^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add the constant angles: \(88 + 58=146\). The equation becomes \(17s+146^{\circ}=180^{\circ}\).

Step3: Solve for \(s\)

Subtract \(146^{\circ}\) from both sides: \(17s=180 - 146\). Then \(17s = 34\). Divide both sides by \(17\): \(s=\frac{34}{17}\).

Answer:

\(s = 2\)