Question

which angles are adjacent to each other? select all that apply. ∠2 and ∠3 ∠1 and ∠2 ∠1 and ∠4 ∠3 and ∠4

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 ∠2 and ∠3

∠2 and ∠3 share a common side (the line segment between their vertex) and a common vertex. Their non - common sides are adjacent, so they are adjacent angles.

Step3: Analyze ∠1 and ∠2

∠1 and ∠2 share a common side and a common vertex. Their non - common sides are adjacent, so they are adjacent angles.

Step4: Analyze ∠1 and ∠4

∠1 and ∠4 share a common side and a common vertex. Their non - common sides are adjacent, so they are adjacent angles.

Step5: Analyze ∠3 and ∠4

∠3 and ∠4 share a common side and a common vertex. Their non - common sides are adjacent, so they are adjacent angles.

Answer:

∠2 and ∠3, ∠1 and ∠2, ∠1 and ∠4, ∠3 and ∠4