Question

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

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 ∠CDB and ∠EDG, they are vertical angles, not supplementary.
• For ∠EDB and ∠CDG, they are vertical angles, not supplementary.
• For ∠FGI and ∠HGI, they are adjacent angles and form a straight - line (line FH). So, ∠FGI+∠HGI = 180 degrees.
• For ∠FGD and ∠CDB, there is no relation that makes their sum 180 degrees.

Answer:

∠FGI and ∠HGI