Question

Can you construct a unique triangle with any 3 possible measurements of angles?

• A. Yes, it is possible to constuct a unique triangle
• B. No, it is impossible to constuct any triangle with this information
• C. It is possible to constuct many triangles with this information but not a unique triangle
• D. Cannot be determined

Answer 1

The correct option is C

It is possible to constuct many triangles with this information but not a unique triangle

Measurement of all the sides or 2 angles and 1 side or 1 angle and two sides are required to construct a unique triangle. Using 3 angles, we can construct many triangles, not a unique triangle. E.g. There are infinite equilateral triangles though they have all the angles equal to ${60}^{\circ }$.