https://r2.erweima.ai/mathbot/image/1725663374007znogh5j5.jpg

The image shows a triangle with two known angles: 32° and 73°. To find the value of the third angle \(x\), we use the fact that the sum of the interior angles of any triangle is always 180°.

The equation for this is:

\[
x + 32^\circ + 73^\circ = 180^\circ
\]

Now, let's solve for \(x\):

\[
x = 180^\circ - 32^\circ - 73^\circ
\]

\[
x = 75^\circ
\]

So, the value of \(x\) is \(75^\circ\).

Would you like further details or explanations on any specific part? Here are some related questions to explore:

1. What is the sum of the interior angles of a triangle, and why is it always 180°?
2. Can this method be applied to all types of triangles?
3. How do we classify triangles based on their angles?
4. What is the exterior angle theorem, and how does it relate to this problem?
5. What happens if one of the angles is more than 90°? How does that affect the triangle?

**Tip**: Always check that the sum of the angles in a triangle equals 180° when solving for missing angles!

Hallar el valor de x en un triángulo con ángulos de 32° y 73°.

Learn how to find the missing angle x in a triangle when two angles are known, 32° and 73°. This problem covers the fundamental geometry concept of the sum of interior angles in a triangle, which always equals 180°. Suitable for students in Grades 6-8.

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