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.
• For ∠5 and ∠8: They are vertical angles, not supplementary.
• For ∠10 and ∠2: They are not adjacent and do not form a straight - line.
• For ∠5 and ∠2: When considering the intersecting lines, ∠5 and ∠2 can be part of a linear pair (by extending the lines and observing the straight - line formed), and their sum is 180 degrees.

Answer:

∠5 and ∠2