To solve for \( x \) in the triangle, we start by using the fact that the sum of the angles in a triangle is always \( 180 \) degrees.
The angles given are:
- Top angle: \( 2x + 10 \) degrees
- Left angle: \( 30 \) degrees
- Right angle: \( 50 \) degrees
Setting up the equation, we have:
\[ (2x + 10) + 30 + 50 = 180 \]
Now, combine the constant terms:
\[ 2x + 10 + 30 + 50 = 180 \]
This simplifies to:
\[ 2x + 90 = 180 \]
Next, isolate \( 2x \) by subtracting \( 90 \) from both sides:
\[ 2x = 180 - 90 \] \[ 2x = 90 \]
Now, divide both sides by \( 2 \):
\[ x = \frac{90}{2} \] \[ x = 45 \]
Thus, the value of \( x \) is \( \boxed{45} \).
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