Concept:The angles at a point sum to 360∘.Explanation:The given angles are 2x, 3x, and 4x.Sum of angles at a point is 360∘.So, 2x+3x+4x=360∘.Add the like terms: 9x=360∘.Divide both sides by 9: x=9360.Therefore, x=40∘.Answer:x=40∘Correct option: A. 40∘