Question

which angles are supplementary angles?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze each pair

• For \(\angle HGJ\) and \(\angle IJG\): There is no information suggesting their sum is \(180^{\circ}\).
• For \(\angle IJL\) and \(\angle FGJ\): No indication their sum is \(180^{\circ}\).
• For \(\angle KJG\) and \(\angle FGJ\): No evidence of their sum being \(180^{\circ}\).
• For \(\angle HGJ\) and \(\angle FGJ\): These two angles form a linear pair (they are adjacent and their non - common sides form a straight line). By the linear pair postulate, the sum of angles in a linear pair is \(180^{\circ}\).

Answer:

\(\angle HGJ\) and \(\angle FGJ\)