Answer: x = -11 ∠FGK = 30° ∠KGH = 150°
<u>Step-by-step explanation:</u>
∠FGK + ∠KGH = ∠FGH <em>Segment Addition Postulate</em>
x + 41 + x + 161 = 180 <em>Substitution</em>
2x + 202 = 180 <em> Simplify (added like terms)</em>
2x = -22 <em>Subtraction Property of Equality</em>
x = -11 <em>Division Property of Equality</em>
∠FGK = x + 41 = (-11) + 41 = 30
∠KGH = x + 161 = (-11) + 161 = 150
