Question

which angles are supplementary angles?
∠hgi and ∠fgi ∠hgi and ∠edg
∠hgi and ∠fgd ∠hgi and ∠cdb

Explanation:

Step1: Recall the definition of supplementary angles

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

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

Looking at the diagram, \(\angle HGI\) and \(\angle FGI\) form a linear pair. A linear pair of angles is always supplementary.

Step3: Analyze other options

• For \(\angle HGI\) and \(\angle EDG\): There is no relation that makes their sum \(180^{\circ}\).
• For \(\angle HGI\) and \(\angle FGD\): There is no relation that makes their sum \(180^{\circ}\).
• For \(\angle HGI\) and \(\angle CDB\): There is no relation that makes their sum \(180^{\circ}\).

Answer:

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