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what is an angle that is supplementary to ∠cpd?

Question

what is an angle that is supplementary to ∠cpd?

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two lines intersect, linear - pair angles are supplementary.

Step2: Identify linear - pair with ∠CFD

The angle that forms a linear - pair with ∠CFD is ∠DFE. Since they are adjacent and their non - common sides form a straight line, ∠CFD+∠DFE = 180°.

Answer:

∠DFE