Question
Use the given conditions to determine the number of possible triangles.
first angle measure: 40∘
second angle measure: 75∘
third angle measure: 65∘
Do the given conditions create a unique triangle, more than one triangle, or no triangle?
Responses
unique triangle
unique triangle
more than one triangle
more than one triangle
no triangle
first angle measure: 40∘
second angle measure: 75∘
third angle measure: 65∘
Do the given conditions create a unique triangle, more than one triangle, or no triangle?
Responses
unique triangle
unique triangle
more than one triangle
more than one triangle
no triangle
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine whether the given angles can form a triangle, we need to check if they satisfy the triangle sum property. The sum of the interior angles of a triangle must equal 180 degrees.
Let's add the given angles:
- First angle: 40°
- Second angle: 75°
- Third angle: 65°
Now summing them:
\( 40° + 75° + 65° = 180° \)
Since the sum of the angles is exactly 180°, these angles can indeed form a triangle.
Furthermore, since the measures of the angles are fixed and add up to 180°, this configuration creates a **unique triangle**.
The answer is:
**unique triangle**
Let's add the given angles:
- First angle: 40°
- Second angle: 75°
- Third angle: 65°
Now summing them:
\( 40° + 75° + 65° = 180° \)
Since the sum of the angles is exactly 180°, these angles can indeed form a triangle.
Furthermore, since the measures of the angles are fixed and add up to 180°, this configuration creates a **unique triangle**.
The answer is:
**unique triangle**
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