Question

which angles are supplementary to each other? ∠11 and ∠16 ∠10 and ∠6 ∠4 and ∠9 ∠16 and ∠15

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 ∠11 and ∠16: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠10 and ∠6: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠4 and ∠9: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠16 and ∠15: They are adjacent and form a straight - line. So, ∠16+∠15 = 180 degrees, and they are supplementary.

Answer:

∠16 and ∠15