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We are given a triangle with three angles:

- One angle is \( 98^\circ \),
- Another angle is \( 31^\circ \),
- The third angle is labeled as \( x^\circ \), which we are tasked to find.

According to the triangle angle sum theorem, the sum of the interior angles of any triangle must equal \( 180^\circ \). Therefore, we can set up the following equation:

\[
x + 98^\circ + 31^\circ = 180^\circ
\]

Simplifying:

\[
x + 129^\circ = 180^\circ
\]

Now, solve for \( x \):

\[
x = 180^\circ - 129^\circ = 51^\circ
\]

Thus, the value of \( x \) is \( 51^\circ \).

Would you like a more detailed explanation or have any questions?

Here are some related questions you might explore:
1. How can we check if the triangle is an obtuse triangle?
2. What happens if one angle in a triangle exceeds \( 90^\circ \)?
3. Can a triangle have more than one obtuse angle?
4. How do we calculate the exterior angles of this triangle?
5. How can we apply the law of sines or cosines in non-right triangles?

**Tip:** Always verify that the sum of the angles in a triangle adds up to 180° when solving for unknown angles.

Find the value of x in a triangle where two angles are 98° and 31°, and the third angle is labeled x°.

Learn how to find the missing angle x in a triangle with two given angles of 98° and 31°. This solution uses the triangle angle sum theorem to calculate x, suitable for Grades 6-8.

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