Question

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

Explanation:

Step1: Recall angle - sum definitions

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

Step2: Check \(80^{\circ}\) and \(100^{\circ}\)

\(80 + 100=180\), so they are supplementary.

Step3: Check \(50^{\circ}\) and \(50^{\circ}\)

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

Step4: Check \(25^{\circ}\) and \(155^{\circ}\)

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

Answer:

1. For \(80^{\circ}\) and \(100^{\circ}\): Supplementary
2. For \(50^{\circ}\) and \(50^{\circ}\): Neither
3. For \(25^{\circ}\) and \(155^{\circ}\): Supplementary