Question

which angles are supplementary angles?
∠fgi and ∠hgi ∠hgi and ∠cdb
∠hgd and ∠cdg ∠fgi and ∠cdg

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze \(\angle FGI\) and \(\angle HGI\)

Since \(FH\) is a straight - line segment at point \(G\), \(\angle FGI+\angle HGI = 180^{\circ}\) (linear pair of angles).

Step3: Analyze \(\angle HGI\) and \(\angle CDB\)

There is no relation such that \(\angle HGI+\angle CDB=180^{\circ}\).

Step4: Analyze \(\angle HGD\) and \(\angle CDG\)

There is no relation such that \(\angle HGD+\angle CDG = 180^{\circ}\).

Step5: Analyze \(\angle FGI\) and \(\angle CDG\)

There is no relation such that \(\angle FGI+\angle CDG=180^{\circ}\).

Answer:

\(\angle FGI\) and \(\angle HGI\)