Question

which angles are supplementary to each other? ∠1 and ∠4 ∠13 and ∠6 ∠11 and ∠3 ∠9 and ∠4

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, and also some non - adjacent angles (linear pairs) in a set of intersecting lines are supplementary.

Step2: Analyze each option

• For ∠1 and ∠4: They are vertical angles, and vertical angles are equal, not supplementary.
• For ∠13 and ∠6: They are non - adjacent angles formed by the intersection of lines. They are not supplementary.
• For ∠11 and ∠3: They are adjacent angles that form a straight - line. So, ∠11+∠3 = 180 degrees, and they are supplementary.
• For ∠9 and ∠4: They are non - related in a way that their sum is 180 degrees, so they are not supplementary.

Answer:

∠11 and ∠3