Question

question
find m∠gfe.
(there is a triangle feg with fe and fg marked as equal, and angle at e is 58°)

Explanation:

Step1: Identify triangle type

The triangle \( \triangle EFG \) has two equal sides (marked with ticks), so it's isosceles with \( \angle E = \angle G = 58^\circ \).

Step2: Use triangle angle sum

The sum of angles in a triangle is \( 180^\circ \). Let \( \angle GFE = x \). Then \( x + 58^\circ + 58^\circ = 180^\circ \).

Step3: Solve for \( x \)

\( x = 180^\circ - 58^\circ - 58^\circ = 64^\circ \).

Answer:

\( 64^\circ \)