Question

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

Explanation:

Step1: Recall square angle properties

All interior angles of a square are $90^\circ$. So $\angle IFG = 90^\circ$.

Step2: Diagonals bisect square angles

Diagonals of a square bisect its interior angles. $\angle EFI = \frac{1}{2}\angle IFG$

Step3: Calculate the angle

$\angle EFI = \frac{1}{2} \times 90^\circ = 45^\circ$

Answer:

$45$