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The problem asks to find the value of \( x \) in a triangle with angles \( 52^\circ \), \( 49^\circ \), and \( x^\circ \).

In a triangle, the sum of the interior angles is always \( 180^\circ \). Therefore, we can write the equation:

\[
x + 52^\circ + 49^\circ = 180^\circ
\]

Now, solve for \( x \):

\[
x = 180^\circ - (52^\circ + 49^\circ)
\]

\[
x = 180^\circ - 101^\circ
\]

\[
x = 79^\circ
\]

Thus, the value of \( x \) is \( 79^\circ \).

Would you like a detailed explanation of this process or have any other questions?

Here are 5 related questions for further practice:
1. What is the value of the third angle in a triangle where two angles are \( 45^\circ \) and \( 85^\circ \)?
2. If one angle in a triangle is \( 90^\circ \), and another is \( 30^\circ \), what is the third angle?
3. How do you classify a triangle based on its angles if the angles are \( 40^\circ \), \( 50^\circ \), and \( 90^\circ \)?
4. Can a triangle have two angles measuring \( 80^\circ \) and \( 100^\circ \)?
5. If the sum of two angles in a triangle is \( 100^\circ \), what is the third angle?

**Tip:** Always remember that the sum of angles in any triangle is \( 180^\circ \).

Hallar el valor de x en un triángulo con ángulos 52°, 49°, y x°.

Learn how to find the value of x in a triangle where two angles are 52° and 49°. This problem covers geometric concepts, specifically the sum of angles in a triangle, and is suitable for students in Grades 6-8.

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