Question

Do the given conditions determine one unique triangle, many similar triangles, many nonidentical triangles or no triangle?

90°,25°,85°

Answer 1

The angles given (90°, 25°, 85°) sum up to 200°, which is more than 180°. Therefore, these angles cannot form any triangle because the sum of the angles in a triangle must always be 180°.

Step-by-step explanation:

The question asks to determine if the given angles (90°, 25°, 85°) can form a unique triangle, many similar triangles, many nonidentical triangles, or no triangle at all. To answer this, we need to use the fact that in a triangle, the sum of the interior angles must equal 180°. Adding the given angles, we have 90° + 25° + 85° = 200°. Since this sum is greater than 180°, the angles do not satisfy the condition for a triangle. Therefore, these angles cannot form a triangle at all, unique or otherwise.

The given conditions of 90°, 25°, and 85° do determine one unique triangle.

To determine if the conditions determine a unique triangle, we need to check if the sum of the angles is equal to 180°. In this case, 90° + 25° + 85° = 200°, which is greater than 180°.

Therefore, based on the given conditions, no triangle can be formed.

Answer 2

(d) no triangle

Step-by-step explanation:

You want to know how many triangles can be formed with angles 90°, 25°, and 85°.

Angle sum theorem

The angle sum theorem tells you the sum of angles in any triangle is 180°. The sum of the given angles is 200°, so those will not be the angles of any triangle.

No triangle can be made with those angles, choice D.

<95141404393>