The image shows a geometry problem involving a triangle with angle relationships. The triangle has the following information marked:

• One angle is labeled as $2x$,
• Another angle is labeled as $4x$,
• The third angle is labeled as $86^\circ$.

This looks like a question where you need to solve for $x$ using the sum of the interior angles of a triangle, which is always $180^\circ$.

Here’s how you can solve for $x$:

1. The sum of all interior angles in a triangle is $180^\circ$. Thus, we have the equation: $2x + 4x + 86^\circ = 180^\circ$

2. Combine the terms with $x$: $6x + 86^\circ = 180^\circ$

3. Subtract $86^\circ$ from both sides: $6x = 94^\circ$

4. Divide both sides by 6 to solve for $x$: $x = \frac{94^\circ}{6} \approx 15.67^\circ$

Thus, $x \approx 15.67^\circ$.

Would you like more details on any part of this solution, or do you have any questions?

Here are some related questions to expand your understanding:

1. What is the importance of the triangle angle sum property in geometry?
2. How would you solve for an unknown angle if the triangle had two known angles instead of algebraic expressions?
3. Can you apply the same method to solve for angles in non-triangular polygons?
4. What happens if the angles are expressed in radians rather than degrees?
5. How would you check the solution for potential calculation errors?

Tip: Always double-check your algebraic simplifications when dealing with multiple terms.