Question

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

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side, and have no overlapping interior.

Step2: Analyze each option

• For $\angle FGD$ and $\angle CDB$: They do not share a common vertex or side.
• For $\angle EDB$ and $\angle EDG$: They share a common vertex \(D\) and a common side \(DE\), and no overlapping interior.
• For $\angle CDG$ and $\angle HGI$: They do not share a common vertex or side.
• For $\angle EDG$ and $\angle FGD$: They do not share a common vertex or side.

Answer:

$\angle EDB$ and $\angle EDG$