Question

which angles are adjacent to each other? select all that apply.

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common side and a common vertex.

Step2: Analyze each pair

• For $\angle4$ and $\angle1$: They share a common side and a common vertex, so they are adjacent.
• For $\angle16$ and $\angle10$: They do not share a common side or a common vertex, so they are not adjacent.
• For $\angle12$ and $\angle15$: They do not share a common side or a common vertex, so they are not adjacent.
• For $\angle13$ and $\angle10$: They share a common side and a common vertex, so they are adjacent.

Answer:

$\angle4$ and $\angle1$, $\angle13$ and $\angle10$