m∠BCA = 57 degrees.
The sum of the exterior angles of a triangle is 360 degrees.
So,
[tex](5x+12)+(9x+1)+(10x-37)=360\\24x-24=360\\24x=384\\x=16[/tex]
So the exterior angle corresponds to ∠BCA is = 10x - 37 = 10(16) - 37 = 123.
So the interior angle ∠BCA is = 180 - 123 = 57 degrees.
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