Question

which angles are supplementary angles? ∠fgj and ∠hgj ∠fgj and ∠kjg ∠fgj and ∠ijl ∠fgj and ∠hge

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 each option

• For $\angle FGJ$ and $\angle HGJ$, they are adjacent angles and together they form a straight - line at point $G$ on line $FH$. So, $\angle FGJ+\angle HGJ = 180^{\circ}$.
• For $\angle FGJ$ and $\angle KJG$, they are not related in a way that their sum is 180 degrees.
• For $\angle FGJ$ and $\angle IJL$, they are not related in a way that their sum is 180 degrees.
• For $\angle FGJ$ and $\angle HGE$, they are not related in a way that their sum is 180 degrees.

Answer:

$\angle FGJ$ and $\angle HGJ$