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?

A) 30°, 60°, 90°
B) 45°, 55°, 80°
C) 30°, 45°, 105°
D) 30°, 45°, 55°

Answer 1

D) 30, 45, 55 can not exist 

Answer 2

Answer: D) 30°, 45°, 55°

Explanation:

We know that the sum of all the angles of a triangle is 180° .

A) Sum of all angles =30°+60°+ 90°= 180°

∴ Triangle can exist.

B) Sum of all angles = 45°+ 55°+ 80°= 180°

∴ Triangle can exist.

C) Sum of all angles = 30°+ 45°+ 105°= 180°

∴ Triangle can exist.

D) Sum of all angles = 30°+45°+ 55°= 130° ≠180°

∴ Triangle can not exist.