Question

what is the value of s?
f
s
g
106°
e
s =

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). In \(\triangle EFG\), let \(\angle E=\angle F = s\) (since the sides opposite to them are equal, so the angles are equal by the isosceles triangle theorem), and \(\angle G = 106^{\circ}\).
So, \(s + s+106^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(s\)

Combine like - terms: \(2s+106^{\circ}=180^{\circ}\).
Subtract \(106^{\circ}\) from both sides: \(2s=180^{\circ}- 106^{\circ}\).
\(2s = 74^{\circ}\).
Divide both sides by 2: \(s=\frac{74^{\circ}}{2}\).

Answer:

\(37\)