Look at the diagram. Which angle is supplementary to ∠DOC?

Without a diagram, it's difficult to answer your question precisely. But, in general, supplementary angles add up to 180 degrees. So, to find an angle supplementary to ∠DOC, you need to find an angle that adds up with ∠DOC to equal 180 degrees.
Unfortunately, it is impossible to answer your question definitively without the diagram referred to in your question. However, in general terms, if you are looking for an angle that is supplementary to ∠DOC, you need to identify the angle that, when added to ∠DOC, totals 180°, as supplementary angles share this characteristic. For example, if ∠DOC is 120°, the supplementary angle would be 60°, because 120° + 60° equals 180°.
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The angle that is supplementary to ∠DOC is 127 degrees.
The angle that is supplementary to ∠DOC is the angle that, when added to ∠DOC, will result in a sum of 180 degrees. In this case, ∠DOC is given as 53 degrees. Therefore, the angle that is supplementary to ∠DOC is the angle that, when added to 53 degrees, will result in a sum of 180 degrees.
To find this angle, we subtract 53 degrees from 180 degrees: 180° - 53° = 127°. So, the angle that is supplementary to ∠DOC is 127 degrees.