Use the Triangle Sum Theorem to write out an equation and solve for x

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The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

If we have a triangle with angles A, B, and C, we can write the equation as:

\[ A + B + C = 180^\circ \]

To solve for \( x \), you'll need specific angle measures or expressions that involve \( x \). For example, if we have angles as follows:

  • Angle A = \( 2x \)
  • Angle B = \( 3x \)
  • Angle C = \( 5x \)

The equation will be:

\[ 2x + 3x + 5x = 180^\circ \]

Now, combine like terms:

\[ 10x = 180^\circ \]

To solve for \( x \), divide both sides by 10:

\[ x = \frac{180}{10} = 18 \]

So the solution is:

\[ x = 18 \]

Please provide specific angle values if this example doesn't match your problem!