Question

which angles are supplementary to each other? ∠12 and ∠11 ∠1 and ∠7 ∠2 and ∠11 ∠13 and ∠2

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 ∠12 and ∠11: They are adjacent angles and form a straight - line. So, ∠12+∠11 = 180 degrees.
• For ∠1 and ∠7: They are not adjacent and do not form a straight - line. Their sum is not 180 degrees.
• For ∠2 and ∠11: They are not adjacent and do not form a straight - line. Their sum is not 180 degrees.
• For ∠13 and ∠2: They are not adjacent and do not form a straight - line. Their sum is not 180 degrees.

Answer:

∠12 and ∠11