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 \(180^{\circ}\). If two angles form a linear - pair (adjacent angles formed by two intersecting lines), they are supplementary.

Step2: Identify the linear - pair with \(\angle FBG\)

Looking at the diagram, \(\angle FBG\) and \(\angle FBC\) form a linear - pair.

Answer:

\(\angle FBC\)