Question

complementary supplementary neither

Explanation:

Step1: Recall definitions

Complementary angles sum to \(90^{\circ}\), supplementary angles sum to \(180^{\circ}\).

Step2: Check first pair

\(34^{\circ}+56^{\circ}=90^{\circ}\), so it's complementary.

Step3: Check second pair

\(67^{\circ}+67^{\circ}=134^{\circ}
eq180^{\circ}\).

Step4: Check third pair

\(53^{\circ}+127^{\circ}=180^{\circ}\), so it's supplementary.

Answer:

Complementary: \(34^{\circ}\) and \(56^{\circ}\) pair; Supplementary: \(53^{\circ}\) and \(127^{\circ}\) pair; Neither: \(67^{\circ}\) and \(67^{\circ}\) pair.