Geometry

Question Analysis

We're tasked with finding side  in  given two angles (, ) and side . The Law of Sines will help establish a relationship to solve for the unknown side.

 

Key Concept Explanation

Law of Sines: In , . It states that the ratio of a side length to the sine of its opposite angle is the same for all sides, enabling us to find unknown sides from known angles and side lengths.

 

Step - by - Step Solution

1. Find :

Since the sum of angles in a triangle is , .

2. Apply the Law of Sines:

Let ,