Question

which angles are supplementary angles? ∠fgi and ∠fgd ∠fgi and ∠edb ∠fgi and ∠hgd ∠fgi and ∠cdg

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 ∠FGI and ∠FGD: ∠FGI and ∠FGD are adjacent angles and they form a straight - line at point G. So, ∠FGI+∠FGD = 180°.
• For ∠FGI and ∠EDB: There is no relationship that makes their sum 180°.
• For ∠FGI and ∠HGD: There is no relationship that makes their sum 180°.
• For ∠FGI and ∠CDG: There is no relationship that makes their sum 180°.

Answer:

∠FGI and ∠FGD