Question

which angles are adjacent to each other? ∠7 and ∠1 ∠3 and ∠5 ∠6 and ∠10 ∠12 and ∠9

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common side and a common vertex and have no interior - points in common.

Step2: Analyze each option

• For ∠7 and ∠1: They do not share a common side or vertex, so they are not adjacent.
• For ∠3 and ∠5: They do not share a common side or vertex, so they are not adjacent.
• For ∠6 and ∠10: They do not share a common side or vertex, so they are not adjacent.
• For ∠12 and ∠9: They share a common side and a common vertex and have no interior - points in common, so they are adjacent.

Answer:

∠12 and ∠9