Question

which angles are supplementary to each other? ∠2 and ∠5 ∠10 and ∠7 ∠1 and ∠6 ∠10 and ∠9

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, non - adjacent angles in some angle relationships can be supplementary.

Step2: Analyze each option

• For ∠2 and ∠5: They are non - adjacent and do not form a linear pair or have a relationship that makes their sum 180 degrees.
• For ∠10 and ∠7: They are non - adjacent and do not have a relationship that makes their sum 180 degrees.
• For ∠1 and ∠6: They are non - adjacent and do not have a relationship that makes their sum 180 degrees.
• For ∠10 and ∠9: They are adjacent angles that form a straight line. So, ∠10+∠9 = 180 degrees.

Answer:

∠10 and ∠9