Math Problem Statement
Solution
In this problem, we are asked to find the value of based on the angles in the given triangle. The triangle's angles are expressed as follows:
- One angle:
- Another angle:
- The third angle:
Step-by-step solution:
-
Sum of angles in a triangle: The sum of the interior angles of any triangle is always .
-
Simplify the equation:
Combine like terms:
-
Solve for :
Subtract 44 from both sides:
Now, divide by 5:
Therefore, the value of is .
Would you like more details on this solution or have any questions? Here are five related problems to explore further:
- If one angle in a triangle is known, how do you find the other two angles?
- How does the exterior angle theorem apply in triangle angle problems?
- If one angle of a triangle is right, how does that change the sum of the other angles?
- How do the properties of an equilateral triangle affect its angles?
- Can triangles have angles expressed with different variables? How would you approach solving that?
Tip: Always check if all given angles sum to 180°, as this is a key property of triangles.
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Formulas
Sum of interior angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 8-10
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