Geometry

Question Analysis

In △WXY, we know two angles (, ) and one side (), and the task is to find side . The Law of Sines is the crucial method to solve for this unknown side by relating angles and side lengths.

 

Key Concept Explanation

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. For △WXY,  .

 

Step - by - Step Solution

1. First, find . Since the sum of angles in a triangle is , then .

2. Then, apply the Law of Sines. Let , . According to the Law of Sines formula

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