Question

which angles are adjacent to each other? select all that apply.
∠10 and ∠11
∠13 and ∠14
∠11 and ∠12
∠15 and ∠16

Explanation:

Step1: Recall Adjacent Angles Definition

Adjacent angles share a common side and vertex, no overlap.

Step2: Analyze ∠10 and ∠11

∠10 and ∠11 share a common side (the line they're on) and vertex. Adjacent.

Step3: Analyze ∠13 and ∠14

∠13 and ∠14 share a common side and vertex. Adjacent.

Step4: Analyze ∠11 and ∠12

∠11 and ∠12 share a common side and vertex. Adjacent.

Step5: Analyze ∠15 and ∠16

∠15 and ∠16 share a common side and vertex. Adjacent.

Answer:

∠10 and ∠11, ∠13 and ∠14, ∠11 and ∠12, ∠15 and ∠16 (all these pairs are adjacent as they meet the adjacent angle criteria: common side, common vertex, no overlap).