Question

which angles are supplementary to each other? ∠10 and ∠2 ∠9 and ∠12 ∠11 and ∠9 ∠6 and ∠1

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary. Also, linear pairs of angles are supplementary.

Step2: Analyze each option

• For ∠10 and ∠2: They are not related in a way that their sum is 180 degrees.
• For ∠9 and ∠12: These are vertical angles, and vertical angles are equal, not supplementary.
• For ∠11 and ∠9: They form a linear pair (a straight - line), so ∠11+∠9 = 180 degrees.
• For ∠6 and ∠1: They are not supplementary.

Answer:

∠11 and ∠9