Question

find m∠fgh.
answer
m∠fgh=

Explanation:

Step1: Identify the triangle type

Since \(FG = GH\), \(\triangle FGH\) is an isosceles triangle. In an isosceles triangle, \(\angle F=\angle H = 48^{\circ}\).

Step2: Use the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle FGH=x\). Then \(x + 48^{\circ}+48^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(48^{\circ} + 48^{\circ})$$

$$x = 180^{\circ}-96^{\circ}$$

$$x = 84^{\circ}$$

Answer:

\(84^{\circ}\)