Question

what is ( mangle hgi )?
( mangle hgi=square^{circ} )

Explanation:

Step1: Recall the total degrees in a circle

The total degrees in a circle is \(360^{\circ}\).

Step2: Set up the equation

Let \(m\angle HGI = x\). Then \(x+120^{\circ}+150^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

\(x = 360^{\circ}-(120^{\circ}+150^{\circ})\)
\(x=360^{\circ}-270^{\circ}\)
\(x = 90^{\circ}\)

Answer:

\(90\)