Question

which angles are supplementary to each other? ∠2 and ∠5 ∠12 and ∠10 ∠11 and ∠3 ∠12 and ∠11

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.

Step2: Analyze each option

• For ∠2 and ∠5: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠12 and ∠10: They are vertical angles, not supplementary.
• For ∠11 and ∠3: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠12 and ∠11: They are adjacent angles that form a straight - line. So, ∠12+∠11 = 180 degrees, and they are supplementary.

Answer:

∠12 and ∠11