Question

quadrilateral hijk is a square. what is $m\angle gkj$?
$m\angle gkj = $

Explanation:

Step1: Recall square diagonal properties

In a square, diagonals bisect the right angles at each vertex, and all interior angles of a square are $90^\circ$.

Step2: Calculate the angle measure

The diagonal $KJ$ (wait, correction: diagonal $KH$ bisects $\angle JK H$) $\angle JK H = 90^\circ$, so $m\angle GKJ = \frac{90^\circ}{2}$
$m\angle GKJ = 45^\circ$

Answer:

$45^\circ$