Question

which angles are supplementary to each other? 15 16 7 8 14 13 6 5 11 12 10 9 3 4 2 1 ∠13 and ∠4 ∠3 and ∠11 ∠1 and ∠5 ∠10 and ∠11

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 ∠13 and ∠4: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠3 and ∠11: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠1 and ∠5: They are corresponding angles, not supplementary.
• For ∠10 and ∠11: They are adjacent angles that form a straight - line. So, ∠10+∠11 = 180 degrees, and they are supplementary.

Answer:

∠10 and ∠11