Based on the given nomenclature of angles, I think the illustration would look like that shown in the attached picture. The common vertex is point B, that's why the middle point of the given angles is B. Now, according to Angle Addition Postulate, the individual interior angles should sum up to the total angle. So, the equation would be
m∠ABD = m∠ABC + m∠CBD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 85° - m∠CBD
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-8+4x=-20x-25+7x
4x+20x-7x=-25+8
17x=-17 /17
x=-1
as you already know, we start off by doing a quick switcheroo on the variables, and then we solve for y to get the inverse,

and if you run a vertical line test on that expression, you'll find that it doesn't pass it, meaning is not a function.