Question

for each pair of angle measures, decide if the angles are complementary, supplementary, or neither. complementary 12° and 78° supplementary 80° and 100° neither 50° and 50° 25° and 155°

Explanation:

Step1: Recall the definitions

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

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

\(12 + 78=90\)

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

\(80 + 100 = 180\)

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

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

Step5: Check \(25^{\circ}\) and \(155^{\circ}\)

\(25+155 = 180\)

Answer:

\(12^{\circ}\) and \(78^{\circ}\): Complementary; \(80^{\circ}\) and \(100^{\circ}\): Supplementary; \(50^{\circ}\) and \(50^{\circ}\): Neither; \(25^{\circ}\) and \(155^{\circ}\): Supplementary.