Math Problem Statement
A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?
Solution
The question asks which set of angles can form a triangle. To form a triangle, the sum of the three angles must always equal 180°. Let’s check each set of angles:
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45°, 65°, 70°:
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50°, 50°, 50°:
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90°, 90°, 90°:
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150°, 110°, 100°:
The correct set that forms a triangle is 45°, 65°, 70°.
Would you like a deeper explanation, or have any questions?
Here are 5 related questions:
- What is the sum of the interior angles of a triangle?
- Can a triangle have more than one right angle?
- What is an equilateral triangle, and how do its angles compare?
- How can you identify if three given angles can form a triangle?
- What are the different types of triangles based on angles?
Tip: Always remember that the sum of angles in a triangle is 180°, regardless of the triangle's type.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Properties
Formulas
Sum of angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 6-8