What is the value of ∠C in the diagram?
A. 40°
B. 90°
C. 60°
D. 80°

Answer: C. 60°
Step-by-step explanation:
Since, the sum of all angles of a triangle is 180°,
Thus, by the given diagram,
[tex]m\angleA + m\angle B + m\angle C = 180^{\circ}[/tex]
⇒ [tex]4x + 2x + 3x = 180^{\circ}[/tex]
⇒ [tex]9x = 180^{\circ}[/tex]
⇒ [tex]x = 20^{\circ}[/tex]
Hence, the measurement of angle C = 3x = 3 × 20° = 60°
⇒ Option C is correct.