Question

for each pair of angle measures, decide if the angles are complementary, supplementary,
or neither.
12° and 78°
complementary
80° and 100°
supplementary
50° and 50°
neither

Explanation:

Step1: Recall the definitions

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

Step2: Check \(12^{\circ}\) and \(78^{\circ}\)

Calculate \(12 + 78\).
\(12+78 = 90\).

Step3: Check \(80^{\circ}\) and \(100^{\circ}\)

Calculate \(80 + 100\).
\(80+100=180\).

Step4: Check \(50^{\circ}\) and \(50^{\circ}\)

Calculate \(50 + 50\).
\(50+50 = 100
eq90\) and \(100
eq180\).

Answer:

\(12^{\circ}\) and \(78^{\circ}\): Complementary; \(80^{\circ}\) and \(100^{\circ}\): Supplementary; \(50^{\circ}\) and \(50^{\circ}\): Neither.