Answer:
∠ACD = 124°
Explanation:
2x + 8 and x + 2 form a straight angle = 180°
Thus the sum of the 2 angles = 180°
2x + 8 + x - 2 = 180
3x + 6 = 180 ( subtract 6 from both sides )
3x = 174 ( divide both sides by 3 )
x = 58
∠ACD = 2x + 8 = ( 2 × 58) + 8 = 116 + 8 = 124°