Question

which angles are supplementary to each other? ∠1 and ∠7 ∠6 and ∠7 ∠8 and ∠6 ∠2 and ∠5

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 ∠1 and ∠7: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠6 and ∠7: They are adjacent and form a straight - line. So, ∠6+∠7 = 180 degrees, and they are supplementary.
• For ∠8 and ∠6: They are vertical angles, not supplementary.
• For ∠2 and ∠5: They are not adjacent and do not form a straight - line, so they are not supplementary.

Answer:

∠6 and ∠7