The measure of angle
.
Apply cosines law to determine c,
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Substitute
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Take square root each side.
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Find A. \ \
\Apply Law of sines.
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Substitute
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Apply Cross multiplication
then
.

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Divide each side by 13.8.
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Apply inverse function.
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The sum of the angle measures of a triangle is
.
Substitute
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Subtract 111 from each side.
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The values are
,
, and
.
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