Question

which angles are supplementary to each other?
∠13 and ∠14 ∠12 and ∠16 ∠13 and ∠10 ∠16 and ∠3

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze \(\angle13\) and \(\angle14\)

\(\angle13+\angle14 = 180^{\circ}\) (they form a linear pair).

Step3: Analyze \(\angle12\) and \(\angle16\)

\(\angle12\) and \(\angle16\) are not adjacent in a way to form \(180^{\circ}\) sum.

Step4: Analyze \(\angle13\) and \(\angle10\)

\(\angle13\) and \(\angle10\) are not adjacent in a way to form \(180^{\circ}\) sum.

Step5: Analyze \(\angle16\) and \(\angle3\)

\(\angle16\) and \(\angle3\) are not adjacent in a way to form \(180^{\circ}\) sum.

Answer:

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