Question

which angles are supplementary to each other? ∠5 and ∠6 ∠9 and ∠11 ∠2 and ∠12 ∠8 and ∠14

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles formed by intersecting lines are supplementary.

Step2: Analyze each option

• For ∠5 and ∠6: They are adjacent angles formed by an intersection, so ∠5+∠6 = 180°.
• For ∠9 and ∠11: They are vertical - angles (opposite angles formed by intersecting lines), not supplementary.
• For ∠2 and ∠12: They are neither adjacent nor related in a way that their sum is 180°.
• For ∠8 and ∠14: They are neither adjacent nor related in a way that their sum is 180°.

Answer:

∠5 and ∠6