Final answer:
The question involves finding segment lengths and angle measures in a triangle where a point is equidistant from the sides; specific numeric answers cannot be provided without more information or a figure.
Step-by-step explanation:
The geometry problem involves finding the length of segment SU and the measures of angles YWZ and WXY in triangle WXY, with point S being equidistant from the sides of the triangle. Without the specifics of the triangle or additional information, it is not possible to give numeric answers.
However, if point S is the incenter or centroid, which are commonly equidistant from the sides, we can infer that the triangle is an isosceles or an equilateral triangle. We can use the Pythagorean theorem, trigonometry, and properties of these triangles to find the unknown measures.
To find SU, we would use the Pythagorean theorem if we had the lengths of the sides adjacent to the right angle in the right triangle involving SU.
We would also use trigonometry and possibly the sine and cosine definitions to find the measurements of angles YWZ and WXY. Without specific measurements or a given figure, we cannot proceed further in solving the problem.
your complete question is: Given that point S is equidistant from the sides of △ WXY , find the following measures. SU=□ m∠ SYW=□° m∠ WXY=□°