Question

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what is an angle that is supplementary to ∠dce?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\). In the given diagram, \(\angle DCE\) and \(\angle DCG\) form a linear - pair.

Step2: Use the linear - pair property

By the linear - pair postulate, if two angles form a linear pair (i.e., they are adjacent and their non - common sides are opposite rays), then they are supplementary. Since \(\angle DCE\) and \(\angle DCG\) form a linear pair, \(\angle DCE+\angle DCG = 180^{\circ}\).

Answer:

\(\angle DCG\)