Question

if ( mangle i = 50^{circ} ), find ( mangle s ).

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides are equal), so \( \angle I=\angle U = 50^{\circ}\).

Step2: Use the triangle - angle sum property

The sum of angles in a triangle is \(180^{\circ}\). Let \(m\angle S=x\). Then \(x + 50^{\circ}+50^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(50^{\circ} + 50^{\circ})\)
\(x = 80^{\circ}\)

Answer:

\(80^{\circ}\)