Question

what is m∠ijk? m∠ijk = °

Explanation:

Step1: Recall triangle - angle sum property

In right - triangle $\triangle JHK$, $\angle JKH = 90^{\circ}$ and $\angle HJK=44^{\circ}$. The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle JHK=x$. Then $x + 90^{\circ}+44^{\circ}=180^{\circ}$, so $x=180^{\circ}-(90^{\circ} + 44^{\circ})=46^{\circ}$.

Step2: Use congruence of right - triangles

Since $\triangle JIH$ and $\triangle JKH$ are right - triangles with equal hypotenuse and one equal side (the markings suggest congruence, likely by Hypotenuse - Leg congruence criterion), $\angle IJH=\angle HJK$.

Step3: Calculate $\angle IJK$

$\angle IJK=\angle IJH+\angle HJK$. Since $\angle IJH = 46^{\circ}$ and $\angle HJK = 44^{\circ}$, $\angle IJK = 46^{\circ}$.

Answer:

$46^{\circ}$