Question

what is the value of t?
f
98°
e
t =

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base angles are equal. The sum of angles in a triangle is \(180^{\circ}\). Let the two equal - side - opposite angles be \(t\) (at \(E\)) and the angle at \(G\) (since \(FG = FE\)).

Step2: Set up the equation

We know that \(\angle F=98^{\circ}\), and \(\angle F+\angle E+\angle G = 180^{\circ}\). Since \(\angle E=\angle G=t\) (because the sides opposite to them are equal), the equation becomes \(98 + t + t=180\).
Simplify the equation: \(98+2t = 180\).
Subtract 98 from both sides: \(2t=180 - 98\).
\(2t = 82\).
Divide both sides by 2: \(t=\frac{82}{2}\).

Answer:

\(t = 41\)