SOLUTION: Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.

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Question 314589: Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.
Answer by stanbon(75887) About Me  (Show Source):
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Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.
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Let a = 55, b = 75, c = 80
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Cos(A) = (b^2+c^2-a^2)/2bc
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Cos(A) = 0.75
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A = cos^-1(0.75) = 41.41 degrees
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Use the same procedure to find the measure of angle "B".
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Then C = 180-(A+B)
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Cheers,
Stan H.