Question

which angles are supplementary to each other? ∠11 and ∠9 ∠14 and ∠5 ∠10 and ∠11 ∠9 and ∠5

Explanation:

Step1: Recall definition of supplementary angles

Supplementary angles add up to 180°. Adjacent - angle pairs on a straight - line are supplementary.

Step2: Analyze each angle pair

• For ∠11 and ∠9: They are vertical angles (opposite angles formed by two intersecting lines), and vertical angles are equal, not supplementary.
• For ∠14 and ∠5: They have no special relationship that makes them supplementary.
• For ∠10 and ∠11: They are adjacent angles on a straight - line. So, ∠10+∠11 = 180°, and they are supplementary.
• For ∠9 and ∠5: They have no special relationship that makes them supplementary.

Answer:

∠10 and ∠11