Question

what is the value of v?
v =

Explanation:

Step1: Use the property of isosceles triangle

In triangle \(FEG\), since two sides are equal (marked with the same tick), it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. Let \(\angle E=\angle F = v\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(v + v+74^{\circ}=180^{\circ}\).
Simplify the equation: \(2v=180^{\circ}- 74^{\circ}\).
\(2v = 106^{\circ}\).
Then \(v=\frac{106^{\circ}}{2}\).

Answer:

\(53\)