Question

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

Step2: Analyze ∠10 and ∠11

∠10 and ∠11 share a common vertex (the intersection point of the relevant lines) and a common side. The non - common sides are on opposite sides of the common side. So they are adjacent.

Step3: Analyze ∠13 and ∠14

∠13 and ∠14 share a common vertex and a common side. The non - common sides are on opposite sides of the common side. So they are adjacent.

Step4: Analyze ∠11 and ∠12

∠11 and ∠12 share a common vertex and a common side. The non - common sides are on opposite sides of the common side. So they are adjacent.

Step5: Analyze ∠15 and ∠16

∠15 and ∠16 share a common vertex and a common side. The non - common sides are on opposite sides of the common side. So they are adjacent.

Answer:

∠10 and ∠11, ∠13 and ∠14, ∠11 and ∠12, ∠15 and ∠16 (all the given pairs are adjacent as they meet the criteria of adjacent angles: common vertex, common side, and non - common sides on opposite sides of the common side)