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°
50° and 50°
12° and 78°

Explanation:

Step1: Recall angle - sum definitions

Complementary angles sum to 90°, supplementary angles sum to 180°.

Step2: Check 12° and 78°

$12 + 78=90$, so they are complementary.

Step3: Check 80° and 100°

$80 + 100 = 180$, so they are supplementary.

Step4: Check 25° and 155°

$25+155 = 180$, so they are supplementary.

Step5: Check 50° and 50°

$50 + 50=100
eq90$ and $100
eq180$, so they are neither.

Answer:

• Complementary: 12° and 78°
• Supplementary: 80° and 100°, 25° and 155°
• Neither: 50° and 50°