Question

which angles are supplementary to each other? ∠9 and ∠5 ∠5 and ∠8 ∠10 and ∠2 ∠5 and ∠2

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 ∠9 and ∠5: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠5 and ∠8: They are vertical angles (equal in measure), not supplementary.
• For ∠10 and ∠2: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠5 and ∠2: They are adjacent angles that form a straight - line, so they are supplementary.

Answer:

∠5 and ∠2