Question

ce and fh are parallel lines. which angles are supplementary angles? ∠edb and ∠hgd ∠edb and ∠edg ∠edb and ∠fgi ∠edb and ∠cdg

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 ∠EDB and ∠HGD: They are not adjacent and do not form a straight - line. They are corresponding angles.
• For ∠EDB and ∠EDG: ∠EDB and ∠EDG are adjacent angles and they form a straight - line (ray BD and ray DG on line BI). So, ∠EDB+∠EDG = 180°.
• For ∠EDB and ∠FGI: They are not adjacent and do not form a straight - line.
• For ∠EDB and ∠CDG: ∠CDG and ∠EDB are vertical angles, not supplementary.

Answer:

∠EDB and ∠EDG