Question

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

Explanation:

Step1: Recall Definitions

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

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

Sum: \(80^\circ + 100^\circ = 180^\circ\). So they are supplementary.

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

Sum: \(25^\circ + 155^\circ = 180^\circ\). So they are supplementary.

Answer:

• \(80^\circ\) and \(100^\circ\): Supplementary
• \(25^\circ\) and \(155^\circ\): Supplementary