Question

which angles are supplementary to each other? ∠12 and ∠11 ∠4 and ∠10 ∠2 and ∠6 ∠11 and ∠9

Explanation:

Step1: Recall definition of supplementary angles

Two angles are supplementary if their sum is 180 degrees. Adjacent - angles that form a straight - line are supplementary.

Step2: Analyze each pair

• For ∠12 and ∠11: They are adjacent and form a straight - line, so ∠12+∠11 = 180°, they are supplementary.
• For ∠4 and ∠10: They are not adjacent and do not form a straight - line, and there is no information indicating their sum is 180°, so they are not supplementary.
• For ∠2 and ∠6: They are corresponding angles (assuming parallel lines, but even without that, they are not adjacent to form a straight - line), and their sum is not 180°, so they are not supplementary.
• For ∠11 and ∠9: They are not adjacent and do not form a straight - line, and there is no information indicating their sum is 180°, so they are not supplementary.

Answer:

∠12 and ∠11