Question

for each pair of angle measures, decide if the angles are complementary, supplementary, or neither. complementary angles add up to 90°. supplementary angles add up to 180°. 12° and 78° 80° and 100°

Explanation:

Step1: Check for complementary

Complementary angles sum to \(90^{\circ}\).
For \(12^{\circ}\) and \(78^{\circ}\): \(12 + 78=90\)
For \(80^{\circ}\) and \(100^{\circ}\): \(80 + 100 = 180
eq90\)

Step2: Check for supplementary

Supplementary angles sum to \(180^{\circ}\).
For \(12^{\circ}\) and \(78^{\circ}\): \(12 + 78=90
eq180\)
For \(80^{\circ}\) and \(100^{\circ}\): \(80+100 = 180\)

Answer:

\(12^{\circ}\) and \(78^{\circ}\): Complementary; \(80^{\circ}\) and \(100^{\circ}\): Supplementary