Math Problem Statement
Doug needs to build an outside canopy for his daughter's playground. The angles in a diagram are listed as 2x, 3x, and 4x. What is the value of x?
Solution
To solve the problem, we are given three angles listed as , , and . Since the angles form a triangle, the sum of the angles must be equal to 180°.
We can set up the equation as follows:
Simplifying:
Now, solve for :
Thus, the value of is 20°. The correct answer is C. .
Would you like more details or have any questions?
Here are some related questions to expand this topic:
- How do you determine the sum of angles in any polygon?
- What are the properties of a triangle with angles proportional to , , and ?
- Can you solve for in a triangle where angles are , , and ?
- What is the formula to find interior angles of polygons with sides?
- How does this principle apply to non-Euclidean geometry?
Tip: When solving angle problems involving polygons, always remember that the sum of the interior angles of an -sided polygon is .
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Formulas
Sum of interior angles in a triangle = 180°
2x + 3x + 4x = 180°
Theorems
Sum of angles in a triangle theorem
Suitable Grade Level
Grades 6-8