Question

complementary
supplementary
neither
101°
77°
107°
73°
32°
48°

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Define supplementary angles

Supplementary angles sum to $180^\circ$.

Step3: Check first pair ($101^\circ, 77^\circ$)

Calculate sum: $101^\circ + 77^\circ = 178^\circ$

Step4: Check second pair ($107^\circ, 73^\circ$)

Calculate sum: $107^\circ + 73^\circ = 180^\circ$

Step5: Check third pair ($32^\circ, 48^\circ$)

Calculate sum: $32^\circ + 48^\circ = 80^\circ$

Step6: Categorize each pair

• $32^\circ$ and $48^\circ$: sum is not $90^\circ$ or $180^\circ$ → Neither
• $107^\circ$ and $73^\circ$: sum is $180^\circ$ → Supplementary
• $101^\circ$ and $77^\circ$: sum is not $90^\circ$ or $180^\circ$ → Neither

Answer:

• Complementary: (no angle pairs)
• Supplementary: $107^\circ$ and $73^\circ$
• Neither: $101^\circ$ and $77^\circ$; $32^\circ$ and $48^\circ$