Question

m∠e
60deg
m∠f
60deg
m∠g

Explanation:

Step1: Identify the triangle type

The triangle has all sides equal (marked with the same tick marks), so it is an equilateral triangle.

Step2: Recall the property of angles in an equilateral triangle

In an equilateral triangle, all angles are equal. The sum of angles in a triangle is \(180^{\circ}\). Let each angle be \(x\). Then \(x + x+ x=180^{\circ}\), which simplifies to \(3x = 180^{\circ}\), so \(x=\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

\(m\angle F = 60^{\circ}\), \(m\angle G=60^{\circ}\)