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 $180^\circ$.