Question

what is the value of t?

Explanation:

Step1: Use the property of isosceles triangle

In triangle \(EFG\), since \(EG = FG\) (marked with red lines), \(\angle E=\angle F = 78^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of interior angles of a triangle is \(180^{\circ}\). Let \(t=\angle G\). Then \(t + 78^{\circ}+78^{\circ}=180^{\circ}\).

$$t=180^{\circ}-(78^{\circ} + 78^{\circ})$$

$$t=180^{\circ}-156^{\circ}$$

Answer:

\(24\)