Question

which angles are supplementary to each other? ∠7 and ∠6 ∠2 and ∠9 ∠1 and ∠12 ∠1 and ∠5

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two lines intersect, linear - pair angles are supplementary.

Step2: Analyze each option

• For ∠7 and ∠6: They are vertical angles, not supplementary. Vertical angles are equal.
• For ∠2 and ∠9: They have no specific relationship that makes them supplementary.
• For ∠1 and ∠12: They are linear - pair angles. ∠1 and ∠12 form a straight - line, so ∠1+∠12 = 180°.
• For ∠1 and ∠5: They have no specific relationship that makes them supplementary.

Answer:

∠1 and ∠12