Question

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

Explanation:

Step1: Recall the total degrees in a circle

A full - circle has \(360^{\circ}\).

Step2: Set up the equation

Let \(m\angle GIH = x\). Then \(82^{\circ}+118^{\circ}+55^{\circ}+x = 360^{\circ}\).

Step3: Simplify the left - hand side

\(82 + 118+55+x=(82 + 118)+55+x=200 + 55+x=255+x\).

Step4: Solve for \(x\)

\(255+x = 360\), so \(x=360 - 255\).
\(x = 105\).

Answer:

\(105\)