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To find the missing angle in the triangle, we use the fact that the sum of the interior angles in any triangle is always \(180^\circ\).

Given:
- Angle 1: \(61^\circ\)
- Angle 2: \(69^\circ\)
- Missing angle: \(x\)

We can write the equation:

\[
x + 61^\circ + 69^\circ = 180^\circ
\]

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

\[
x + 130^\circ = 180^\circ
\]

\[
x = 180^\circ - 130^\circ = 50^\circ
\]

So, the missing angle is \(50^\circ\).

Would you like further details or have any questions?

Here are some related questions:
1. What is the sum of angles in a quadrilateral?
2. Can a triangle have more than one obtuse angle?
3. How do you classify triangles based on their angles?
4. What are the properties of an isosceles triangle?
5. How do you calculate the exterior angles of a triangle?

**Tip:** When solving for unknown angles in polygons, always remember that the sum of interior angles increases by \(180^\circ\) with each additional side. For example, a quadrilateral's angles sum to \(360^\circ\).

Discover how to find the missing angle in a triangle using the sum of interior angles theorem. Given angles 61° and 69°, learn how to calculate the missing angle using basic geometry principles. Suitable for students in Grades 7-9.

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