Question

which angles are supplementary to each other?
∠15 and ∠6 and ∠13 ∠16 and ∠13 ∠9 and ∠1

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze each pair

• For \(\angle15\) and \(\angle6\): They are not adjacent and do not form a linear - pair.
• For \(\angle14\) and \(\angle13\): They form a linear - pair. So \(\angle14+\angle13 = 180^{\circ}\) (by the linear - pair postulate which states that if two adjacent angles form a straight line, then they are supplementary).
• For \(\angle16\) and \(\angle13\): They are vertical angles (\(\angle16=\angle13\) when considering the intersection of lines, and \(\angle16+\angle13

eq180^{\circ}\) in general).

• For \(\angle9\) and \(\angle1\): They are not adjacent and do not form a linear - pair.

Answer:

\(\angle14\) and \(\angle13\)