Question

which angles are supplementary to each other? ∠2 and ∠3 ∠11 and ∠8 ∠11 and ∠3 ∠8 and ∠10

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 ∠3: They are adjacent angles that form a straight - line. So, ∠2+∠3 = 180°, and they are supplementary.
• For ∠11 and ∠8: There is no geometric relationship that makes their sum 180°.
• For ∠11 and ∠3: There is no geometric relationship that makes their sum 180°.
• For ∠8 and ∠10: There is no geometric relationship that makes their sum 180°.

Answer:

∠2 and ∠3