Question

which angles are supplementary to each other? ∠11 and ∠16 ∠10 and ∠6 ∠4 and ∠9 ∠10 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. Also, angles that are linear pairs are supplementary.

Step2: Analyze each option

• For ∠11 and ∠16: There is no relationship that makes their sum 180 degrees.
• For ∠10 and ∠6: There is no relationship that makes their sum 180 degrees.
• For ∠4 and ∠9: There is no relationship that makes their sum 180 degrees.
• For ∠10 and ∠15: These two angles form a linear pair (a straight - line is formed by the non - common sides of the angles). So, ∠10+∠15 = 180 degrees.

Answer:

∠10 and ∠15