Question

which angles are supplementary to each other? ∠6 and ∠1 ∠12 and ∠5 ∠8 and ∠4 ∠3 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. Also, non - adjacent angles can be supplementary in some geometric setups.

Step2: Analyze each option

• For ∠6 and ∠1: They are not supplementary as they have no geometric relationship that would make their sum 180 degrees.
• For ∠12 and ∠5: These two angles are same - side interior angles formed by two parallel lines (assuming the lines are parallel, which is a common geometric setup for such angle problems). Same - side interior angles are supplementary when the lines are parallel.
• For ∠8 and ∠4: They are not supplementary. They are not adjacent to form a straight - line and have no other relationship to sum to 180 degrees.
• For ∠3 and ∠2: They are adjacent angles, but they form a vertical - angle pair, not a supplementary pair.

Answer:

∠12 and ∠5