To find angle BCD, find the angle ACB that lies next to it on the straight line first.
Angles in a triangle add up to 180.
To find angle ACB:
180 - 83 - 47 = 50
So angle ACB = 50.
Angles on a straight line add up to 180 as well.
So to find angle BCD:
180 - 50 = 130
So angle BCD = 130, so the answer is D.
