Asked by Michelle
Question
How many triangles can be constructed with angles measuring 25º, 25º, and 130º?
Responses
more than one
more than one
one
one
none
Answers
Answered by
GPT-4o mini
A triangle is defined by having a sum of its interior angles equal to 180º. In this case, the angles given are 25º, 25º, and 130º.
Let's check the sum of these angles:
25º + 25º + 130º = 180º.
Since the angles add up to 180º, they can form a triangle. Furthermore, it is an isosceles triangle because it has two angles of the same measurement (25º).
However, the angles themselves describe a unique triangle in terms of shape and proportions. Once the angles are fixed, the specific triangle formed will not vary based on other factors such as side lengths, as those would be determined by the given angles.
Thus, the answer is:
**one**.
Let's check the sum of these angles:
25º + 25º + 130º = 180º.
Since the angles add up to 180º, they can form a triangle. Furthermore, it is an isosceles triangle because it has two angles of the same measurement (25º).
However, the angles themselves describe a unique triangle in terms of shape and proportions. Once the angles are fixed, the specific triangle formed will not vary based on other factors such as side lengths, as those would be determined by the given angles.
Thus, the answer is:
**one**.