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To solve this problem, we will use the fact that the angles on a straight line add up to \(180^\circ\).

We are given:
- A straight angle of \(147^\circ\),
- The angle next to it, labeled as \(x^\circ\), and
- Another angle in the triangle, \(30^\circ\).

### Step-by-step solution:

1. **Find \(x\):** 
   Since the angle \(147^\circ\) and \(x^\circ\) are adjacent and form a straight line, their sum is \(180^\circ\). So,
   \[
   x + 147^\circ = 180^\circ
   \]
   Solving for \(x\),
   \[
   x = 180^\circ - 147^\circ = 33^\circ
   \]

Thus, the value of \(x\) is \(33^\circ\).

Would you like more details, or have any further questions?

### Related Questions:
1. What is the sum of angles in any triangle?
2. How do adjacent angles on a straight line relate to each other?
3. Can you calculate the missing angle in a triangle if two angles are known?
4. How would the solution change if the given straight angle was different?
5. What is the importance of supplementary angles in geometric proofs?

**Tip:** Always remember, angles forming a straight line sum to \(180^\circ\).

Find the value of x in the given diagram with angles 30°, x°, and 147°.

Learn how to find the value of x in a triangle where one angle is 30°, another is 147°, and the angles are supplementary. This problem introduces key geometric concepts like the sum of angles on a straight line and basic triangle angle rules. Suitable for students in Grades 6-8.

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