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List the angle measures of △UVW in order from smallest to largest, given that VW=73 meters, UW=59 meters, and UV=40 meters.

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List the angle measures of △UVW in order from smallest to largest, given that VW=73 meters, UW=59 meters, and UV=40 meters.
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Solution 1

To solve this problem, we will use the law of cosines. The law of cosines states that for any triangle with sides of lengths a, b, and c, and an angle γ opposite side c, the following equation holds true:

c² = a² + b² - 2ab cos(γ)

We can use this law to find each angle of the triangle.

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