https://file.aiquickdraw.com/mathbot/file/1729276388402q094o3ds.jpg

To solve for \(x\), we can use the **triangle angle sum property**, which states that the sum of the interior angles of any triangle is always 180°.

### Step-by-step solution:

Given:
- One angle = 50°
- Second angle = 72°
- Third angle = \(x^\circ\)

Using the angle sum property:

\[
50^\circ + 72^\circ + x^\circ = 180^\circ
\]

Now, simplify the equation:

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

Subtract 122° from both sides:

\[
x^\circ = 180^\circ - 122^\circ
\]

\[
x^\circ = 58^\circ
\]

### Final Answer:
\[
x = 58^\circ
\]

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Would you like further details or have other questions? Here are some related questions you might find useful:

1. How do we derive the angle sum property of a triangle?
2. Can a triangle have two 90° angles? Why or why not?
3. What is the exterior angle theorem for triangles?
4. How do you classify triangles by their angles?
5. How can the angles of a triangle be used to determine if it is isosceles?

**Tip:** Always double-check that the sum of your angles adds up to 180° to verify your solution.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Solve for the unknown angle x in a triangle with given angles of 50° and 72°. Using the triangle angle sum property, this step-by-step solution shows how to find the third angle. Suitable for Grades 6-8 geometry students.

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