Question

what is an angle that is supplementary to ∠fbg?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles that add up to \(180^{\circ}\).

Step2: Identify the angle adjacent to \(\angle FBG\)

Looking at the diagram, \(\angle FBC\) forms a linear pair with \(\angle FBG\). A linear pair of angles is supplementary.

Answer:

\(\angle FBC\)