Math Problem Statement
Find the value of x given a triangle with two angles labeled x and one angle labeled 2x + 110°.
Solution
The problem requires finding the value of in a triangle, where the angles are labeled as follows:
- Two angles are each labeled degrees.
- One angle is labeled .
Solution:
In any triangle, the sum of the interior angles is . We can set up the following equation based on this property:
Simplify the equation:
-
Combine like terms:
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Subtract 110 from both sides:
-
Divide by 4:
Answer:
The value of is .
Would you like further details, or do you have any questions?
Here are some related questions for further practice:
- What is the sum of the interior angles in a quadrilateral?
- How do we determine if a triangle is isosceles or scalene based on angles?
- What is the exterior angle theorem for triangles?
- How do we calculate the missing angle if given two angles in a triangle?
- What properties do equilateral triangles have?
Tip: Always remember that the sum of interior angles in any triangle is .
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Angle Sum Property of Triangles
Formulas
Angle sum in a triangle: x + y + z = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grade 7