Final answer:
The given angles (100°, 70°, 40°) sum to 210°, exceeding the total sum of 180° required for a triangle's internal angles; thus, no triangle can be formed from these angles.
Step-by-step explanation:
The question asks about the possibility of forming a triangle given three angles: 100°, 70°, and 40°. As per the basic properties of a triangle, the sum of its internal angles must always equal 180°. The provided angles sum to 210°, which exceeds this requirement.
Therefore, these conditions do not determine a unique triangle, any similar triangles, or any nonidentical triangles since no triangle can exist with these angles. This is confirmed with a simple addition: 100° + 70° + 40° = 210°, which violates the triangle angle sum property.To determine whether the given conditions can form a triangle, we need to check if the sum of the angles is equal to 180 degrees. In this case, the given angles are 100°, 70°, and 40°.
Step 1: Add up the three angles: 100° + 70° + 40° = 210°.
Step 2: Since the sum of the angles is 210°, which is greater than 180°, the given conditions do not form a triangle.
In a triangle, the sum of the interior angles is always 180 degrees. If the sum exceeds 180 degrees, it means that the angles cannot form a triangle.