Final answer:
The question is related to finding two specific angles in a triangular-based pyramid, but cannot be accurately answered without additional information. The base of the pyramid is an equilateral triangle, and we know the sum of angles in a triangle equals 180 degrees.
Step-by-step explanation:
The question asks for the calculation of two angles in a triangular-based pyramid where the base is an equilateral triangle and one of the angles is obtuse.
To solve for angle XZY, we need additional information, such as the lengths of the sides or other angles, which is not provided in the question. Likewise, to find angle WYZ, we need to know more details about the triangular pyramid. Since we don't have enough information, we cannot definitively calculate angles XZY and WYZ.
Remember, the sum of angles in any triangle is 180 degrees, and since the base is equilateral, each angle in the base is 60 degrees.
However, without knowing the specific measurements of the pyramid, we cannot provide an accurate answer.