Question

what is the value of s? s = 90 degrees s = 55 degrees s = 125 degrees s = 180 degrees

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be \(x\). So, \(x + 50^{\circ}+75^{\circ}=180^{\circ}\).

Step2: Solve for the third - interior angle \(x\)

\(x=180^{\circ}-(50^{\circ} + 75^{\circ})=180^{\circ}-125^{\circ}=55^{\circ}\).

Step3: Use the linear - pair property

The angle \(s\) and the third - interior angle \(x\) form a linear pair. A linear pair of angles sums to 180°. So, \(s + x=180^{\circ}\). Since \(x = 55^{\circ}\), then \(s=180^{\circ}-55^{\circ}=125^{\circ}\).

Answer:

s = 125 degrees