Question

If angle A and angle B are supplementary angles, then what angle relationship between angle A and angle B cannot be true?

Option 1: A = 100°, B = 80°
Option 2: A = 90°, B = 90°
Option 3: A = 120°, B = 60°
Option 4: A = 30°, B = 150°

Answer 1

All the given options sum up to 180°, which means they all represent potential supplementary angles. There is no option that demonstrates an angle relationship that cannot be true between supplementary angles.

Step-by-step explanation:

If angle A and angle B are supplementary angles, then the sum of their measures has to be 180°. Therefore, any combination of angles A and B that does not sum to 180° cannot be true. Looking at the given options:

• Option 1: A = 100°, B = 80° (Sum = 180°)
• Option 2: A = 90°, B = 90° (Sum = 180°)
• Option 3: A = 120°, B = 60° (Sum = 180°)
• Option 4: A = 30°, B = 150° (Sum = 180°)

Since all options add up to 180°, all of these combinations represent possible supplementary angles. If there were an option where the sum did not equal 180°, that would be the angle relationship that could not be true between supplementary angles.