Math Problem Statement
Work out the value of x given the angles in a triangle as x, 2x, and 3x.
Solution
To solve this problem, we use the property of a triangle where the sum of the interior angles equals .
The angles in this triangle are given as:
Step 1: Set up the equation for the sum of the angles
Step 2: Simplify the equation
Step 3: Solve for
Final Answer:
Would you like me to provide more detailed explanations or assist with a related topic? Here are 5 questions to deepen your understanding:
- What would the other angles of the triangle measure when ?
- How does the property of triangle angle sums apply in non-Euclidean geometry?
- What would change if the angles were expressed in terms of radians?
- How can you verify your solution using trigonometry?
- Could this problem be adapted for isosceles or right triangles?
Tip: Always verify the sum of your calculated angles equals when solving for unknown angles in triangles.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Triangle Angle Sum Property
Formulas
Sum of angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 7-9