Final answer:
To find the measure of angle W in triangle WXY, use the Law of Cosines. Angle W is approximately 28.2 degrees.
Step-by-step explanation:
To find the measure of angle W in triangle WXY, we can use the Law of Cosines. The Law of Cosines states that for any triangle with sides a, b, and c, and angle C opposite side c, the following equation holds: c^2 = a^2 + b^2 - 2ab * cos(C).
In this case, we have side w of length 210 inches, side x of length 850 inches, and side y of length 760 inches. We want to find angle W. Plugging in the values, we get: 210^2 = 850^2 + 760^2 - 2 * 850 * 760 * cos(W).
Solving this equation for W, we find that angle W is approximately 28.2 degrees.