Question

which angles are adjacent to each other? select all that apply.
∠2 and ∠5 ∠3 and ∠5 ∠6 and ∠1 ∠4 and ∠1

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 ∠5

∠2 and ∠5 share the common vertex (the intersection point) and the common side (the vertical line). Their non - common sides are on either side of the common side. So ∠2 and ∠5 are adjacent.

Step3: Analyze ∠3 and ∠5

∠3 and ∠5: ∠3 is a right angle (marked with a square) and ∠5. They do not share a common side. So they are not adjacent.

Step4: Analyze ∠6 and ∠1

∠6 and ∠1 share a common vertex and a common side (the horizontal line). Their non - common sides are on either side of the common side. So ∠6 and ∠1 are adjacent.

Step5: Analyze ∠4 and ∠1

∠4 and ∠1 do not share a common side. So they are not adjacent.

Answer:

∠2 and ∠5, ∠6 and ∠1