Question

which angles are supplementary angles? ∠efd and ∠jik ∠efd and ∠hif ∠efd and ∠gfd ∠efd and ∠gfi

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 the given angles

In the figure, $\angle EFD$ and $\angle GFD$ share a common side $FD$ and together they form a straight - line $EG$. So, $\angle EFD+\angle GFD = 180^{\circ}$.

Answer:

$\angle EFD$ and $\angle GFD$