Question

look at this diagram. if (overline{fg}) and (overline{jk}) are parallel lines and (mangle fge = 58^{circ}), what is (mangle jig)

Explanation:

Step1: Identify angle - type relationship

$\angle FGE$ and $\angle DIF$ are vertical - angles.

Step2: Apply vertical - angles property

Vertical angles are congruent. Given $m\angle FGE = 58^{\circ}$, then $m\angle DIF=m\angle FGE$.

Answer:

$58^{\circ}$