Question

topic: properties of angles
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which angle is supplementary to the ∠dcf in this diagram?
∠fcb
∠fcd
∠bce
∠fca

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°.

Step2: Analyze the diagram

In the given diagram, ∠DCF and ∠FCB form a linear - pair. A linear - pair of angles are adjacent angles whose non - common sides are opposite rays. And linear - pair angles are supplementary.

Answer:

∠FCB