Question

which angles are supplementary to each other? ∠7 and ∠1 ∠11 and ∠4 ∠8 and ∠6 ∠9 and ∠12

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 ∠7 and ∠1: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠11 and ∠4: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠8 and ∠6: They are adjacent and form a straight - line. So, ∠8+∠6 = 180 degrees, and they are supplementary.
• For ∠9 and ∠12: They are adjacent and form a full - circle (360 degrees), not a straight - line, so they are not supplementary.

Answer:

∠8 and ∠6