Question

what is the value of t?

Explanation:

Step1: Recall the property of isosceles triangle

In an isosceles triangle, the base angles are equal. The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle F = 98^{\circ}\), and the triangle \(FEG\) is isosceles (two sides are equal).

Step2: Calculate the value of \(t\)

We know that \(\angle F+\angle E+\angle G = 180^{\circ}\). Since the triangle is isosceles (\(FE = FG\)), \(\angle E=\angle G\). Let \(\angle E = t\) and \(\angle G=t\). Then \(98 + t+t=180\). Simplify the equation: \(2t=180 - 98\). So \(2t = 82\), and \(t=\frac{82}{2}=41\).

Answer:

\(41\)