Answer to Question #110377 in Geometry for Stefanie Grissom

Question

Given three angles whose sum is 180 degrees, one unique triangle can be drawn

Answer 1

The statement is false.

A unique triangle will be produced if you are given:

• all three sides (Side-Side-Side)
• two sides and the included angle (Side-Angle-Side)
• two angles and the included side (Angle-Side-Angle)

The condition at which all angles are given  whose sum is 180 degrees does not allow drawing a unique triangle.