https://file.aiquickdraw.com/mathbot/file/1729775155494wxapcwew.jpg

The triangle in the image is an isosceles triangle, as indicated by the two equal angle marks at the base.

We are given that:
- The top angle is \( 3x^\circ \).
- The two base angles are \( 4x^\circ \) each.

In a triangle, the sum of all interior angles must equal 180°. Therefore, we can set up the equation:

\[
3x + 4x + 4x = 180^\circ
\]

Simplifying this:

\[
11x = 180^\circ
\]

Now, solve for \( x \):

\[
x = \frac{180^\circ}{11} \approx 16.36^\circ
\]

Thus, \( x \approx 16.36^\circ \).

Would you like further clarification or more details on the steps?

Here are 5 related questions:
1. How do you find the angles in an equilateral triangle?
2. Can you explain how the exterior angle of a triangle relates to interior angles?
3. What is the sum of interior angles in a polygon with \(n\) sides?
4. How would you solve a triangle if one angle is given and two sides are known?
5. What defines an isosceles triangle mathematically?

**Tip**: Remember, in any triangle, the sum of the interior angles is always 180°. This can be a helpful shortcut for solving problems like this one!

This problem involves solving for x in an isosceles triangle where the angles are represented as 3x and 4x. Use the angle sum theorem to solve this geometry problem step-by-step. Suitable for students in Grades 6-8.

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