Answer: B) 91°
Step-by-step explanation:
From the given figure we can see that FG is a straight line.
We know that the straight angle (angle made by straight line) is \(180^{\circ}\)
Therefore, \(m\angle{HGF}+m\angle{HGI}=180^{\circ}\) [∵linear pair]
\(\Rightarrow89^{\circ}+m\angle{HGI}=180^{\circ}\\\\\Rightarrow m\angle{HGI}=180^{\circ}-89^{\circ}\\\\\Rightarrow m\angle{HGI}=91^{\circ}\)
