Answer:
∠ACB = 33°
∠DCE = 35°
∠BCD = 112°
Explanation:
As angles A and B are given, calculating angle c is simply subtracting these angles from 180:
180 - 58 - 78 = 44
So ∠ACB = 33°
The same can be said for angle C:
180 - 85 - 60 = 35
So ∠DCE = 35°
Now we have found two angles for ∠BCD, we can also subtract the above two answers from 180 because there is 180° on a straight line:
180 - 35 - 33 = 112
∠ACB = 33°
∠DCE = 35°
∠BCD = 112°
Hope this helps!