https://file.aiquickdraw.com/mathbot/file/1725738336045j7sr6n7w.jpg

To solve the problem in the image:

The question asks for the sum of angles \( a \) and \( b \) in the given triangle.

### Solution:
1. In any triangle, the sum of the internal angles is always \( 180^\circ \).
2. Given that one angle is \( 30^\circ \) (marked in the triangle), we can find the sum of the other two angles, \( a \) and \( b \).

Let's calculate:
\[
a + b = 180^\circ - 30^\circ = 150^\circ
\]

### Answer:
The sum of the angles \( a \) and \( b \) is \( 150^\circ \).

Would you like more details or have any other questions?

Here are some related questions:
1. What are the properties of a triangle regarding its internal angles?
2. How can you determine the measure of an unknown angle in a triangle if two angles are known?
3. What is the relationship between the angles in an equilateral triangle?
4. How do the angles of a right triangle add up?
5. What happens to the sum of the angles if a triangle is extended to a quadrilateral?

**Tip:** In any triangle, always remember that the sum of the three internal angles will always equal \( 180^\circ \).

Wie viel ergibt die Summe der Winkel a und b in diesem Dreieck?

Understand how to calculate the sum of angles a and b in a triangle, applying the Triangle Sum Theorem. This geometry problem demonstrates how the internal angles of a triangle always sum to 180°, suitable for students in Grades 6-8.

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