https://file.aiquickdraw.com/mathbot/file/1727187491805vwioavrn.jpg

To solve the problem, we are given three angles listed as \(2x\), \(3x\), and \(4x\). Since the angles form a triangle, the sum of the angles must be equal to 180°.

We can set up the equation as follows:

\[
2x + 3x + 4x = 180°
\]

Simplifying:

\[
9x = 180°
\]

Now, solve for \(x\):

\[
x = \frac{180°}{9} = 20°
\]

Thus, the value of \(x\) is 20°. The correct answer is **C. \(x = 20^\circ\)**.

Would you like more details or have any questions?

Here are some related questions to expand this topic:

1. How do you determine the sum of angles in any polygon?
2. What are the properties of a triangle with angles proportional to \(2x\), \(3x\), and \(4x\)?
3. Can you solve for \(x\) in a triangle where angles are \(x\), \(2x\), and \(3x\)?
4. What is the formula to find interior angles of polygons with \(n\) sides?
5. 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 \(n\)-sided polygon is \((n-2) \times 180^\circ\).

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?

Learn how to solve for x in a triangle where the angles are proportional to 2x, 3x, and 4x. The sum of the angles is 180°, and the problem is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation