Question

which angles are supplementary to each other? ∠1 and ∠5 ∠5 and ∠12 ∠11 and ∠12 ∠11 and ∠1

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 ∠5: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠5 and ∠12: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠11 and ∠12: They are adjacent and form a straight - line. So, ∠11+∠12 = 180 degrees, and they are supplementary.
• For ∠11 and ∠1: They are not adjacent and do not form a straight - line, so they are not supplementary.

Answer:

∠11 and ∠12