Question

quadrilateral fghi is a square. what is m∠efi? m∠efi = \boxed{} °

Explanation:

Step1: Analyze square properties

In square FGHI, all interior angles are $90^\circ$, and its diagonals bisect the interior angles.

Step2: Calculate $\angle EFI$

Diagonal $FH$ bisects $\angle IFG$. Since $\angle IFG = 90^\circ$,
$\angle EFI = \frac{1}{2} \times \angle IFG = \frac{1}{2} \times 90^\circ$

Answer:

$45$