Question

find m∠fgk

Explanation:

Step1: Identify given angle

The given angle $\angle FGH = 46^{\circ}$ and we need to find $\angle FGK$.

Step2: Notice right - angle

Since $\angle HGK = 90^{\circ}$ and $\angle FGH+\angle FGK=\angle HGK$.

Step3: Calculate $\angle FGK$

$\angle FGK=\angle HGK - \angle FGH$. Substituting the values, we have $\angle FGK = 90^{\circ}-46^{\circ}=44^{\circ}$.

Answer:

$44$