Question

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

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠CDB and ∠EDG, they are vertical angles, not supplementary.
• For ∠HGD and ∠CDG, they are same - side interior angles. If the lines CE and FH are parallel, they are supplementary. But we need to check other options too.
• For ∠FGD and ∠HGI, they are vertical angles, not supplementary.
• For ∠CDG and ∠EDG, ∠CDG+∠EDG = 180° since they form a straight - line at point D.

Answer:

∠CDG and ∠EDG