Answer:
∠ACD = 124°
Step-by-step explanation:
ACB is a straight angle, hence
∠ACD + ∠DCB = 180° ← substitute values
2x + 8 + x - 2 = 180
3x + 6 = 180 ( subtract 6 from both sides )
3x = 174 ( divide both sides by 3 )
x = 58, hence
∠ACD = 2x + 8 = (2 × 58) + 8 = 116 + 8 = 124°
