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The problem provides a triangle with the following angles:
- One angle is 110°
- Another angle is 45°
- The third angle is labeled as \( x^\circ \).

We know that the sum of the interior angles of a triangle is always 180°. Therefore, we can set up the equation:

\[
110^\circ + 45^\circ + x^\circ = 180^\circ
\]

Now, solving for \( x \):

\[
155^\circ + x^\circ = 180^\circ
\]
\[
x^\circ = 180^\circ - 155^\circ = 25^\circ
\]

Thus, the value of \( x \) is **25°**.

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. What is the sum of the interior angles of any triangle?
2. If two angles in a triangle are 30° and 90°, what is the third angle?
3. Can a triangle have more than one obtuse angle? Why or why not?
4. How do you determine if a triangle is acute, obtuse, or right-angled based on its angles?
5. What are the exterior angles of a triangle, and how do they relate to the interior angles?

**Tip:** Always remember that the sum of the angles in any triangle will always equal 180°, which is key to solving problems involving missing angles.

What is the value of x in a triangle where one angle is 110°, another angle is 45°, and the third angle is x?

Find the value of x in a triangle where one angle is 110° and another is 45°. This problem covers key geometry concepts involving the sum of interior angles in a triangle. Suitable for students in Grades 6-8.

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