Question

bd and eg are parallel lines. which angles are supplementary angles? ∠gfh and ∠ef, ∠gfh and ∠gfc, ∠gfh and ∠efc, ∠gfh and ∠bca

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze angle relationships

$\angle GFH$ and $\angle GFC$ are adjacent angles that share a common side ($\overrightarrow{FG}$) and their non - common sides ($\overrightarrow{FH}$ and $\overrightarrow{FC}$) form a straight line. So, $\angle GFH+\angle GFC = 180^{\circ}$.

Answer:

$\angle GFH$ and $\angle GFC$