Final Answer:
The answer is a) 360 degrees.
Step-by-step explanation:
In geometry, the sum of the interior angles of a triangle is always 180 degrees. In this case, ∠2, ∠3, and ∠4 are angles in a triangle, so their sum is 180 degrees. Therefore, none of the provided answer options (b) 180, c) 200, d) 150) accurately represents the sum of these angles.
However, if ∠2, ∠3, and ∠4 are angles in a quadrilateral or any other polygon, their sum could be different. Without specific information about the type of figure or additional angles, it is not possible to determine the sum precisely.
To achieve a sum of 360 degrees, we would need to consider angles in a full circle. If ∠2, ∠3, and ∠4 are angles in a straight line or a circle, their sum can indeed be 360 degrees. However, this assumption depends on the context provided in the question. Therefore, option (a) 360 is the most appropriate choice given the uncertainty about the type of figure involved.
Understanding the properties of geometric figures and the relationships between their angles is crucial in solving problems like this. In this case, the choice of 360 degrees aligns with the possibility that ∠2, ∠3, and ∠4 are angles in a full circle, forming a complete revolution.