Question

which angles are adjacent to each other?

∠bea and ∠ced ∠bec and ∠dea ∠ced and ∠aeb ∠dea and ∠ced

Explanation:

Adjacent angles share a common vertex and a common side, and their non - common sides are on opposite sides of the common side.

• For $\angle BEA$ and $\angle CED$: They do not share a common side, so they are not adjacent.
• For $\angle BEC$ and $\angle DEA$: They do not share a common side, so they are not adjacent.
• For $\angle CED$ and $\angle AEB$: They do not share a common side, so they are not adjacent.
• For $\angle DEA$ and $\angle CED$: They share the common vertex $E$ and the common side $ED$, and their non - common sides ($EA$ and $EC$) are on opposite sides of $ED$. So they are adjacent.

Answer:

$\angle DEA$ and $\angle CED$