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what is an angle that is supplementary to \\( \\angle fgb \\)?

Question

what is an angle that is supplementary to \\( \angle fgb \\)?

Explanation:

Step1: Recall the definition of supplementary angles

Two angles are supplementary if their sum is \(180^{\circ}\).

Step2: Identify the angle that forms a linear pair with \(\angle FGB\)

A linear pair of angles is supplementary. The angle that forms a linear pair with \(\angle FGB\) is \(\angle FGE\) (since they are adjacent and their non - common sides form a straight line).

Answer:

\(\angle FGE\)