Question

You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. Which triangle cannot exist?

Answer 1

The answer is 30, 45, 55

Explanation:

Answer 2

Any triangle where the sum of the angles is over or under 180 cannot exist.
A 45-55-80 triangle can exist, but a 45-55-90 triangle cannot.
A 30-45-105 triangle can exist, but a 80-90-105 triangle cannot.