Question

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

Explanation:

Step1: Recall definitions

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

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

\(12 + 78=90\), so they are complementary.

Step3: Check \(25^{\circ}\) and \(155^{\circ}\)

\(25 + 155 = 180\), so they are supplementary.

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

\(50+50 = 100
eq90\) and \(100
eq180\), so they are neither.

Answer:

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