Answered

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?

A30°, 60°, 90°
B45°, 55°, 80°
C30°, 45°, 105°
D30°, 45°, 55°

Verified Answer :

veronicakelly57
D30, 45, 55 can not exist
JeanaShupp

Answer: D) 30°, 45°, 55°


Step-by-step 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.

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